OP has not asked any follow ups. So, I'll just comment on a few different viewpoints.
I as well as several other people I know have been running turbocharged 2ZZGE engines for many years. In the Spyderchat community you will find this is a very common build. Not exactly the same as supercharged but 250-300 WHP are pretty regular numbers. There are quite a few well past 300 WHP that are pretty reliable on the street. Again, that is for STREET use.
The thing with the 2ZZ is the knock levels shift with timing very quickly once load is applied. For example a couple pulls and the engine is fine. But, after 10 pulls the timing required to avoid significant knock shifts like 3-4 degrees even at low boost! The coolant does not show this at all and there are no significant sensor readings that would let you know the engine is in a more knock prone state (other than the knock sensor). From a controls perspective it looks identical. So, take a 2ZZ that was tuned on the street or transient dyno pulls and it will blow up on the track. I think this is a big part of why people say these engines don't do well on the track. It is also very hard to detect low level knock that causes hot spots because the engine is internally quite noisy. Additionally, there is a resonance right around 7k RPM that can potentially hide some knock as well.
TL

R, The 2ZZ really needs to be tuned under prolonged high load to keep from blowing up at the track. However, just under 400 HP is achievable on an intercooled turbocharged street tune until your transmission lets go.