What kind of competition?
For Bullseye, PPC, and Action Pistol (Bianchi Cup) adjustable sights are nearly essential. You are shooting at a small target from widely different ranges.
I have shot NRA, PPC, IHMSA, and BPCR in which multiple sight changes per match are necessary.
For IPSC/USPSA and IDPA the targets are larger and the ranges (usually) shorter. Good clear fixed sights that are zeroed for 25 yards are fine.
I have adjustable sights on my IDPA CDP and IPSC Limited guns that were not been touched for years after the first range session after installation. I recently changed out the front sights and had to correct for the difference and have not moved them again. My IDPA ESP, SSP and IPSC Production guns have fixed sights. My gunsmith and I got them zeroed for common loads at the most usual range and they have needed no more attention.
You can start out with a fixed sight gun and have adjustables installed if your favorite sport requires them.
If that seems likely, I suggest avoiding things like the Springfield Loaded or SW1911 which use Novak fixed sights for which there are few choices in adjustable replacements. An adjustable sight on a target gun should be a Bomar or something VERY similar, like Wilson, Baer, or Smith.