No. It means that the 93db speaker will play louder than the 86db at the same volume setting on yr pre (or yr integrated). Officially and usually, the db(a) rating documents the intensity of the sound reproduced @ 1 volt/1/2 kHz signal (unless otherwise specified).
Accordingly, if you have a low output (watt) amp that you love, it will probably drive the 93db (i.e. the sound quality will be according to speakers & amp specs) but not the 86db (i.e., the sound will be anaemic, NOT according to expectations).
So, matters of taste and sound quality remain. And, although "efficient" speakers are easier to drive (i.e. will play some music w/a low power amp) they can take the mikey out of the electronics in no-time. Speakers are often partial to (lots of) current...
Also, different speaker designs sport different efficiency ratings: horn-loaded ones have high db measurements. Boxes vary from OK to dismal and abysmal, and statics often have low-ish efficency. Fortunately the present trend favours efficiency... as equipment is revealing and our ears critical, and who can afford a 250W fully linear, hi-speed, pure class A or whatever, razor-edge precise on harmonics amp to drive 79db beauties.
Hence the practical advantage of the 93db. There's more, either way, I'll let the cognoscenti elaborate.
BUT I have found that, efficent or not, speakers require quality and horsepower anyway... i.e. current or voltage (i.e. amp power supply). Which kind of nullifies the efficency effect...
Cheers!