In the Battle of Britain scenario, I think that the 110C is a better plane than the 109E. It has more time aloft, has much longer-lasting ammo load, is more sturdy, is faster above 18k, has more lethal guns, puts out a more-continuous stream of lead (less chance of enemy flying through your stream), has no convergence issues, and has 2 engines (in case you lose one, you still might be able to limp home).
I think the only disadvantages are that it's a bit slower from about 10k to 18k altitude than the 109E and it doesn't stallturn as well as the 109E.
Even so, the 109E isn't a bad plane against the Spit I and Hurri I (although a lot of people might be surprised that the Hurri I is as fast as the 109E above 23k alt).
(The 109F is vastly better than the 109E -- the above comparison doesn't apply to the 109F as well.)