There is at least as clear an advantage from playing 'mathematically correct' in no limit. It would be a much more difficult bot to write because adding the bet size variable would greatly increase the complexity of the math, but it could also probably outperform human players by a much greater margin for the same reason.

An objection that could be raised is that psychological factors carry more weight in no limit, especially short term psychology (recognizing when a player is on tilt), but I see no reason why a sophisticated program couldn't integrate these factors better than a human. Psychology in online poker is really just pattern analysis.