I think it depends on the controller, the BIOS and the "mode" (AHCI versus RAID).
On an older non-UEFI motherboard, an AHCI drive will be thrown up as removable or hot-swappable in the system try "safe removal" icon pop-up.
So far, I've tried to change this behavior to my liking, but -- "no cigar."
For my own systems -- workstation and server -- it doesn't bother me. But Mom's boot-system SSD appears in the pop-up and could be "removed" by accident.
Mom has been known to click on "stuff" by accident. I have to continually reset her e-mail browser to a view that she's used to. At her age, she needs more help with her "personal" computer than most, even having used one for two decades.
The problem I face with that: I installed a hot-swap tray for certain occasional backups of her system. We use thumb drives. I can remove the icon, but then I may need it.