Techincally, the DB-engined Fw 190 might be called the 'Fw 109 DB'; the Jumo 211 = 'Fw 190 211'

Would it will be better than the 190A-3? With DB 605 and Jumo 211R, it probably would a bit above 6 km, due to lower drag & weight, plus the ram ir intake is far better executed. With DB-601E and Jumo 211J, it would be probably a bit 'weaker', but not substantially so. The main benefit would've been in terms of range/radius, that would've been useful in East and Mediterranean.
The 190 vs. Bf 109 have had several advantages - much better rate of roll, capacity to have greater firepower instaled whether with or without sticking the guns externally, greater internal fuel capacity, far better & stronger undercarriage, along with better pilot's work place.
The Ju-87 might've got the BMW 801 if we make a major engine shuffle happening, like the Bf 110 getting the Jumo 211, so there is enough of DB engines for the Fw 190. In the mean time, kill the Bf 210/410 programe, so there is even more of V12 engines for the Fw 190.