Generally speaking, yes, a cash deal would be faster -- no waiting for appraisals or underwriting approval. if you are buying a condo, it may not make as a much if a difference because you do have to wait for HOA docs.
Cash is the game these days...it will help you win any multiple offer, save money you might have spent on a mortgage, and close the deal more quickly.
In general I would say yes. Cash buyers have less hurdles to jump through without an appraisal or financing contingency. We just sold a property to a cash buyer that only took 8 days from offer to closing.
Typically the cash buyer can close much faster than a buyer with a loan and there are fewer contingencies which is why the REO companies sometimes prefer to work with cash buyers. Appraisals can be very difficult for homes that don't fit that perfect cookie cutter mold, cash buyers usually are not contingent upon an appraisal.