Where are you getting this?
The Ta-152H was a high-altitude interceptor, designed to hit fast bombers north of 20k. This was also in response to reports of the B-29. Everything I have ever read on the subject points to this, I would be more than interested to read anything to the contrary. Just the inclusion of 30mm cannon screams bomber-interceptor...
Just because the situation over Europe when the handful of Ta-152's saw combat ended up with them taking on enemy fighters doesn't mean that the entire project wasn't designed, from the start, to create a fast high-altitude bomber interceptor.
You really don't know what you're talking about. It had 30mm so it must have been designed for bombers, huh? Bzzzt! Wrong! It flew high, so it MUST have been to hunt B-29s, huh? Bzzzt! Wrong! 109K had both a high blown engine and a 30mm cannon, and they weren't designed for bomber hunting either.
The Ta152 was a continuation/modification of the Fw190 line, simple as that. The dora took the FTH up higher to contend with US fighter planes, as compared to the A8, but it wasn't enough. The 152 series had multiple lines, including the 152C and the 152H, C being the lower altitude variant, and H being the high-altitude FIGHTER variant. It was not an interceptor. That term really doesn't apply much until the jet ages and the cold war.
Its goal, its mission, and its purpose, was to give the Luftwaffe pilots an edge (or at least, an equal footing) to the P-51s and P-47s flying well over 30,000 feet, where the LW had previously not been able to fight.
It was intended to win dogfights, not hunt bombers. The Ta152 is a direct product of the early-1943 testing on a Fw190C prototype, though turbosuperchargers were deemed too complicated and too expensive when high-blown superchargers were just as good and far more reliable. In 1943 the Germans still had a chance (or at least high hopes) of winning the war against the Allies.
If you want to make a bomber killer you go the heavily armored and heavily armed route. You make it fast and you make it small so it's hard to hit. The 152 had such long slender wings so that it could turn and dogfight at extreme altitudes. It was significantly lightened, including REDUCING the ammo load. There's no need for this when hunting bombers. However, this was done on the 109 FIGHTERS as well, sometimes reducing ammo load to save weight for dogfighting. None of this adds up to "bomber hunter"... That's just bad info.