Everywhere I've read including Suzuki's official specs claim 187bhp which is crank hp, directly off the end of the crank, nothing else connected. That's the same as an 06-07 zx14, which are no slouches. You lose around 12 hp at the back wheel due to the parasitic losses of the clutch and transmission, chain drag, and turning the back wheel and associated parts like disc drag etc.
Tire inflation and bearing resistance can also be a factor. And stretched swingarms and wide tires are a known hp sponge on the dyno and the street... especially in roll on racing. They're best for high hp drag racing where the launch counts.
Take 12hp off the crank rating and you'll be pretty close to the rwhp. So the gen 3 stock should lay down an average of about 175rwhp, give or take stingy or happy dynos. Most full exhausts add between 10-14rwhp with a good tune. So 188 at the rear wheel is right in the ballpark.... slightly more or less depending on happy or stingy dynos, and variables like low tire pressures which suck some hp and dry chains or over tightened chains, dragging discs and higher resistance wheel bearings. Some guys even pry the pads off the rear discs (the pads normally slightly drag on the discs) to get slightly higher numbers.
There's so many variables a knowledgeable dyno guy can do it's hard to go by dyno numbers alone. Your best bet is to go with the average numbers once we get a lot of owners posting up their numbers.
One thing I do know is the gen 3 mod for mod is going to be putting out a lot more power than my gen 1 in a much more refined package... and my modded gen 1 was the most enjoyable bike I've ever ridden.... more so even than my quicker ZX14. So anybody that rides a gen 3 and claims it's no fun is lying to themselves. That bike is going to be a blast to ride, I don't care who you are
If I was in the market for another busa I'd have no qualms about picking up a gen 3