I agree with a lot of what's being said, yet it is worth noting that if it's to be more than a theoretical discussion a desired outcome should be initially decided upon. If a smallish turbo is to be used, with a modest power figure in mind, than retaining a higher comp ratio would certainly be advantageous. Although if a larger turbo was to be used it then would be reasonable to reduce the compression, run higher boost and achieve your power goals. Even with only 9psi through a gt30 on a properly built motor 200+fwkw is available.
Of course lag is not purely a function of comp ratio; turbo size and design, manifold design, pipe diameter(bigger is not always better), pipe length, engine displacement and tune all play important roles in minimising lag. I also feel that with a high rev limit a big turbo on a built motor will give you a far greater power band, as it will not run out of puff higher in the rev range.
All of this means nothing without a good tune, if you go for small turbo/ hi-comp set up or large turbo/built motor neither will live a happy or long life without the right tune.
Yes you can put a large turbo on a hi-comp motor, it's just that it's like gambling. You may win in the short term but chances are you'll lose in the long run.
So save money and do it properly once.