The 109E-4 that is modeled in AH didn't have DTs.
Using image captions as proof is no evidence at all. I can post many images from reputable authors that have miss captioned photos.
The Emil's used by Erp
robungsgruppe 210 (As you see FA misspelled it by leaving out an 'r' which changes the translation completely; so mush for their accuracy

) of course had a bomb rack (ETC 250 rack) that could hold a DT. But those E-4s didn’t have the plumbing to feed fuel from the tank.
In fact you can read as much in this book
MESSERSCHMITT BF 110 BOMBSIGHTS OVER ENGLAND: Erprobungsgruppe 210 in the Battle of Britain
ISBN:
0 7643 1445 9
Fighter Ace isn’t a game that is based "historical accuracy" they are just like any other and open to errors. In fact a quick review of their FM shows just how wrong they can be.
As the LW transitioned from the E-4 to the E-7 there were many E-4s still on the assembly lines, some were fitted with the same bomb rack as on the E-7 (ETC 250 rack) and re-designated as the E-4/B. It followed from the E-1/B. They could not carry DTs because there were no fuel lines from the tank to the eng.
Some E-4s had the DB605N, some had a pointed prop hub, and some E-7s had the blunt nosed hub.
You haven't proven anything.
What we do know is that the E-4 that is modeled in AH is a BoB E-4 with a DB605A and didn’t carry DTs.