Right, Picard isn’t really designed for that, it relies quite heavily on a recording’s placement within an album to identify it. It’d be possible to attempt to identify recordings purely by their individual length, sound, and random assortment of tags, while avoiding bothering you with the album this recording is found within, but that’d be an entirely different methodology and user interface.
Before I used Picard, I noticed VLC has, I believe, an AcoustID-based individual track identifier. The interface is very crude, and the results are pretty inaccurate. But it only cares what the one track you’re identifying might be.