For the 190 suggested above by your's truly, we look at a 3500 kg aircraft, that has 1350 PS at 5.7 km (fully rated DB 605A = Oct 1943 and on; no ram) = 2.59 kg/PS.
The 190D-9 as-is was 4270-4300 kg, at 5.7 km it had 1550 HP = ~2.76 kg/HP.
Using the big and heavy Jumo 213 or DB 603 is probably going contrary to the wishes for a lightweight Fw 190, since the weight spirals up, not down.
Well, that's the Dora as-is, not a hypothetical lightweight one to compare with your 605 powered one. Sure, the Dora can't be lightened as much due to the heavier engine, but already if you save 300kg in structural weight you're on par with your 605 powered version in terms of power /weight. And it'll almost surely be faster due to more power with very similar drag.
Now, the big advantage of the 601/605 powered version is that it can be available much sooner than the versions that need to wait for the 603 or 213 to be available, by which point the LW has to a large extent ceased to exist as a significant force. But the RLM might refuse to go ahead with a bf109 alternative with the same engine. I think it was only after using a radial that Tank's fighter plans were looked on favorably by the RLM, as the DB engine supply was already spoken for. But assuming that hurdle can be overcome, might make sense to just cancel the 801 outright and have BMW run shadow factories for 601/605 production.