[hnkain]

It would be surprising to me if a completely deterministic strategy wasn't within some very close margin of an optimal strategy. For example, if you think you should raise with JJ 1/3 of the time and call the rest of the time in some spot, then you can raise JcJd and JhJs and call with the other jacks. This can give your opponent slightly more information about your range in some cases (for example, if they hold a J themselves), and of course you can only approximate correct frequencies, but it's highly unlikely (in my opinion at least) that such a deterministic strategy would be terrible.

[xapata]

Conversely, I'd be very surprised if any deterministic strategy were remotely good. I've played against people with reasonable tight-aggressive strategies who were a bit too deterministic. They get crushed.

It'd be far too easy to recognize when they have a good hand and fold and to push them off all their marginal hands.

[DCF]

Which really shows how the game has gotten so much harder. Ten years ago someone playing a fundamentally solid deterministic strategy could print money online. And in many low stakes casino games that is probably still true.