The OP is asking a question and everyone is replying as if he is saying he thinks the answer is yes to his question
Maybe most do think he would have been a very fine player. Every reason to think so. But, chess would never have made him as famous.
Sorry to say this, but the name Lasker is not a household word today, except in the relatively small chess milieu.
You could quite have liked the person who came to my door. They play chess, and I have never lost to them. Which is why we no longer play chess.