I believe the answer would have to be anecdotal…that is, someone would have to have done it to know. Even if they could get it running it's unlikely they could test every feature for compatibility.
The release notes wouldn't say, obviously. Also, most anyone who's on Catalina would have downloaded the free upgrades over the years…and it's been about five years since that version was released.
ask on a logic forum (at apples forums, or logicprohelp.com)... someone there would know. still, why wouldn't you just update to logic X 10.4.8? new features, functions, enhancements, etc... and full compatibility with catalina.