Battle of Britain was over at the end of 1940. No IIcs saw service in BOB. Some IIAs might have, if I recall.
Anybody that wants a IIC in an early war setup should look at the EWA stats that Lusche posted. About 80% of all kills in the EWA are hurr2c kills.
It's quite over-modeled. The only weakness it has ever had in this game was a small ammo clip. I've seen them dive from 20k without problems. They zoom like they have no drag (and don't take that as fact, please, it's just a complaint).
The hurr2c is so overmodeled that it completely dominates the 109E, as was evident in Fire Over Malta, where on landing 90% of 109F pilots dinged their props (lag), so they had to reup (almost the entire side) in 109Es against Hurr2cs. We were unable to get anything done.
For balance purposes, hurr2C should never be included in "early" war setups. Midwar, sure. Mid-to-early, sure.
Unless the mission is expressly bomber interception, then they would have a place (that was the main reason for 4x20mm).
Edit: P.S. The allies have more planes after BOB. Axis don't have anything til the F-4 and 190A-5 show up, 1.5 to 2 years later. So you add in a Hurr2c, where's the 109E-7N? Where's the 90 rpg ammo clips on the MG/FFm? Where's the later marks of bombers? Our Ju88 is early 1941, while our Ki67 is late '44 (I think). Not much in between. You have to be careful using "just" service dates -- because sometimes there's no equivelant on the other team.