You will find two camps on the subject... those who crimp ammo intended for any semi-auto use and those who do not. I don't crimp any bolt gun intended ammo.
Those who do not will cite years of trouble-free results and some who advocate it will cite reasons as well, such as mentioned above.
Depending on how much you crimp, it is possible to adversely effect accuracy of the load due to bullet jacket deformation but to what significant degree is a topic of great debate.
Safety reasons include preventing bullet set back in the case when running up the feed ramp.
For my blasting loads(FMJ ammo) in .223 I will crimp to make sure I have no issues. On any ammo intended for my auto-loading .308 Win. rifles I will light crimp using the Lee Factory Crimp Die (FCD). Using a magnifying glass, I adjust the crimp die until I just can see evidence of the crimp, this process has served me well for years, provides for a meaningful crimp with minimal effect on bullet jacket. I do this in the .308 gas guns because the recoil on the 16" can be quite sharp.
On my hunting ammo smaller than .308 Win I might crimp, I might not, depending on how the bullets feel when I seat them... if they feel like there's good solid neck tension I usually don't. I just finished up 300 rounds of 6.8 and 300 rounds of 6.5 Grendel, they felt solid/tight on the seating so I did not crimp.
So, for me:
Any Bolt Gun Ammo- no crimp
.223 FMJ Blasting ammo- crimp
.308 Win ammo, FMJ Blasting or Hunting- very light crimp
Other Semi-auto Loads- Depends on neck tension
So as you can see, I'm all over the place when it comes to crimping...