Just playing devils advocate here-
If we bet with black JJ or red JJ, and everyone folds, great.
If someone raises (sets, 2-pair, combo draw), we generally fold with both, so same there too.
If someone calls, I would say besides possibly ATs, typical opponent would have most likely a fd, after that oesd. So if most likely opp range is fd, wouldn't we rather have the Jh when called (1 less out for opp, and more equity for us)?
I'm betting both black JJ or red JJ... but maybe that is a leak...