High vs. Low Efficiency Speakers

Also would be helpful to know room size, type of tube amp, and type of classical.

no real advantages or bene's to either but choice of one dictates amp choices as a general rule of thumb..if you like Classical music and listen at low volumes a SET tube amp is strongly recommended and you'll need to partner with a high efficiency speaker design >90db and impedance flat at 8 ohms...this is a lifelike combo IMHO.
good luck,
Larry

The benefit to higher efficiency speakers is that less amplifier power is needed to achieve a given loudness. The benefit of a low efficiency speaker is that you may be able to operate the volume control higher in its range where it has less effect on the sound quality.

Some speakers are grossly inefficient but sound amazing (like Maggies or some Thiels). Those are cases where even low volumes require a minimum of 10-50 watts just to "get them going". Personally, I'd want hundreds of watts with those two but, on the other hand, I'd have a hard time adjusting the volume on a speaker rated at 102db like coincidents or klipshorns.
Find either an amp or speaker you really want, then match it with what you need.