So this is what iff, and the Fw 190 is not married to BMW and BMW is not sole radial engine manufacturer in Germany.
Somehow it always seemed to me that Bramo (Siemens Halske) had a better (or more focused) development team.
The fact is that the komandogeratt (ie all engine controls on one lever) and the entire BMW 003 engine came under BMW with the unification of BMW + Bramo. Not to mention the two-speed supercharger and MW on (some) Bramo 323s.
Maybe BMW wasted too much time and energy on their V-12s ( BMW 116 and 117). Bramo worked on Bramo 329 (aka Sh29), a two-row 14 cylinder, with a power output of 1400hp and Bramo 300, a two-row 18 cylinder 2000hp and on experiments in rotary/conical valves. Perhaps, without the (forced) unification of BMW + Bramo, we would be discussing the Fw 190 with a Bramo engine.
And BMW..? Well, considering the BMW VI... it would probably be better if instead of the V-12 counterparts (I'm thinking of the BMW 116 and 117) for the Jumo 210 and DB 601/Jumo 211 they went and designed a 45 liter V-12 (which would probably fit perfectly in the Fw 190C

). After all, where did Mikulin start from (BMW VI).
After all, the Nakajima Ha-5 / Ha-41 / Ha-109 series started on the basis of the Jupiter (also roots of Bramo 323 and presumably 329) as early as late 1933. We don't know much about the Bramo 329 (at least I do not), but Nakajima's story says something.
So a BOB with a Fw 190/Bramo 329 of 1400-1500 hp is not terribly unthinkable.