Maybe I did not describe it accurately. I am not assuming that every player is the same. Instead, I am assuming that there are n categories of players where players in each category are the same, so I am only searching for hands of players in given category.

Thats what I understood, too. The question is: how do you define the category. As I understood it, you are clustering players according to some preflop or postflop stats.

For instance, Assume preflop and we have 2 players with exact same VPIP/PFR/3b stats. Both 3b 8%, but P1 does it with a polarized range while P2 uses an unpolarized range - you would merge this together, right?

you can easiliy do it this way and categorize you opponents by stats. Afterwards adding some weighting factors (e.g. you see opponentX calling with small Suited Connectors) and let this influence your predictions to receive a more accurate range.

And my point was that this doesn't work well, as stats are an aggregate from which you cannot really infer the strategy too well.