I've had pretty good luck with fixed sighted handguns with maybe an exception or two in a few dozen guns.
Had one that shot about a foot low at 10 yards--turned out that was a known issue with the sights on that particular model and I had to correct it with different sights.
As far as elevation goes, there are a few things that confuse people:
1. Flinching often manifests as an elevation point of impact error. It will usually put shots low on the target. If a gun is "shooting low", then the next step is to assess group size. If the group size at 10 yards,
shooting carefully, is larger than 3" and the person shooting has good vision and no physical disabilities (e.g. tremor, very low hand strength, etc.) then the issue is likely a flinch and not a problem with the sights. It's a rare handgun/ammo combination that is incapable of shooting groups that are about an inch in size at ranges of 10yrds or less.
2. Of necessity, the elevation point of impact MUST change with range if the gun is to put the bullets at or above the top of the front sight at any range.
The bullet starts out below the top of the front sight (obviously) and if the gun is sighted to put the bullet at the top of the front sight at 15 yards, then at every range UNDER 15 yards, the bullet will hit below the top of the front sight. Then, beyond 15 yards, the bullet will continue to rise until gravity takes over and pulls it back down.
Here's a plot from a post I made on the topic some time ago. Note that at different points downrange, the pistol appears to be sighted to put the bullet below the front sight, then behind the front sight, then on top of the front sight, then well above the front sight. So which sight picture is it actually set up for? Depends on what range it was set up for.
https://thefiringline.com/forums/showthread.php?t=503476