The part that varies most is not you, it is everyone else in the chain: the seller's own move-out timeline, whether the property has a mortgage that needs to be discharged, and how quickly the seller's lawyer responds to routine requests. A cash buyer with no financing condition removes one variable, not all of them.
Sellers do value a cash, unconditional offer because it removes financing risk entirely, and that can make your offer more attractive in a competitive situation even before speed becomes a factor. The Saskatchewan REALTORS Association's standard purchase contract still requires the same title and adjustment steps whether or not a mortgage is involved.
Cash buys you certainty and can shave time off the slowest step in a typical deal, but it does not skip the legal process that every Saskatoon sale has to go through. Get your hand-reviewed valuation from Joel Dyck.