How about you you due a little more research Krusty.
So no combat units had Bf109F-4s before the end of 1941 or the beginning of 1942. 
Stab JG1, III./JG52 and III./JG77 had Bf109F-4s at the end of June 1941. 
Stab JG1 was based at Jever Germany.
III./JG52 was based at Bukarest-Pipera Hungary.
III./JG77 was based at Bacau Romania.
If that's true, show me a photo. So many of them were around in June there should be dozens of photos. The Germans loved to take photos of all their planes, especially the new ones that arrived in units. I can't blame them. I'd have done the same.
Of the hundreds of photos I've looked over in the past month, EVERY single F-4 wasn't until much later. All earlier dates are prior versions of the -F such as F-2 (the most common).
Show me that. I'm not so sure you can, because all the records show that JG2 and the channel squadrons got priority on all 109F improvements. They got the latest and greatest variants simply because they were holding the line against much tougher opponents than any other front. This is widely agreed upon. They were the first to use the F in combat, and with every successive variant were the first to get it.
While I say JG2 and JG26 were the FIRST to receive the F-1 as a unit (this happened in March and April of 1941, there is no doubt about these dates), some individual experten aces used early model F-0s during the Battle of Britain, scoring kills and even getting shot down. These are really 1-off special cirucumstances and preferential treatment for the highest-scoring of aces. And those are units getting preferential treatment! JG27, fighting the lion's share in Africa, was only receiving F-1s and F-2s in September 1941. You're talking about Eastern Front stuff. Eastern Front got no preferential treatment with regards to delivery of 109Fs. Soviet craft were so inferior and so easy to kill they saw it as less needing than the units fighting US and RAF enemies.
Are you suggesting the entirety of the developmental cycle went from F-1 FIRST delivery to F-4s already in combat in less than 2 months? Hardly likely, since production lines were still pumping out F-1s and later F-2s for months to come. In June of 1941 the gruppenkommandeurs of JG26 were still flying F-2s (as evidenced by photographs). Position and rank had perks in the Luftwaffe. Leadership often meant access to the best equipment.
Doesn't add up.
Also, you're trying to tell me that Galland himself, the guy who selfishly pampered himself with the best latest and greatest fighter that was available (multiples, for his own personal use) was still using F-2s in on December 5, 1941, "just because"? 6 months after the F-4 was available (according to you)? His personality wouldn't allow it. He kept himself personally stocked with the best tools, but at a widely photographed event his personally modified F-2s are available for all to see. Not F-4s. And they weren't for show -- he was flying every day or as much as he could to rack up his kill tally in a competition with Molders.
Again, IMO it doesn't add up. The only way I can see it happening is some favortism giving a lone experten/ace pilot here or there an F-4 to play with, but that doesn't really count now does it? Same way F-0s seeing combat in the BOB don't really count because it was a limited number and based on favortism. Not a full squadron or even gruppe.
As for the units you list:
Of all JG1, 52, and 77, I can find dozens upon dozens of identifiable F-4 variants in photographs, but NONE before 1942. Before 1942, they are using F-2s or late-model Es.
JG52 got some 109F-4s in October 1941. Even then it wasn't complete, it was staggered inclusion amongst the F-2s. In July 1941 they were newly-equipped with F-2s for the upcoming Barbarossa campaign. They had just transitioned from 109Es. In early 1942 they still had many F-2s on hand as seen in photographs.
JG77 also got 109F-4s. Meanwhile the only photos of their 109F-4s are from 1942 in Sicily or Crimea. Even so, they were still flying Es as well. In August of 1941 photographic evidence shows staffelkapitan of 7./JG2 (and noted ace) Egon Mayer was still using an F-2.
In fact, the ONLY reference I can find that mentions an F-4 loss in July of 1941 is of JG2's geschwaderkommodore (Balthasar), supposedly when his wing sheared off during a wild maneuver. This was only reported on very early F-2 variants and super-early F-4s and was fixed in production before many could be affected. Considering the wing had to be redesigned and strengthened, this problem was mostly only seen on early F-2s before they fixed it on the production lines. Much like the weakened tail. I think this entry from the "aces of..." book is in error, because the Osprey book dedicated to JG2 shows they had F-2s on hand 24 hours before Balthasar's death. The Osprey book also shows the first combat loss of 109Fs for JG2 was on 17 June 1941 (this specifically the F-2s they had just been converting to). This is further supported by the fact that noted ace and commander of III./JG2, Hans "Assi" Hahn, was still flying an F-2 well into August 1941, based on photographic evidence.
It *IS* possible Balthasar got the one and only F-4 available at the time because of his status and rank. But that hardly is representative of what the rest of the Luftwaffe was flying at the time. Much like the F-0s that scored kills during the Battle of Britain, it doesn't mean the 109F was "in service" at that time.
Just a quick tally:
aces of north africa and mediterranean: 20 different 109F-4s profiled, earliest by a long shot was Nov 1941, all others in 1942.
aces of the russian front: 8 109F-4s profiled, none earlier than 1942.
aces of the western front: 5 109F-4s profiled, earliest date being "autumn 1941"... (not very specific)