NO, drivers won't install as you need to run the installer package before they run. As drive isn't boot now, they are just files as far as windows is concerned.
that should work. I would check in bios to make sure its not added to boot list.
Windows might baulk at deleting an old install in disk management
Is this win 10 or 11?
Boot into advanced startup
Pick troubleshoot
Pick advanced
Pick Command Prompt
Type diskpart and press enter
Type list disk and press enter
This will show the list of drives currently attached to PC, make note of the drive number of the drive you want to wipe
If Disk 1 is the drive you want to clear, type select 1) and press enter. A message will confirm it is selected
Warning: Diskpart Erase/Clean will permanently erase/destroy all data on the selected drive. Please be certain that you are erasing the correct disk.
Once you sure its right disk, type Clean and press enter
The Command Prompt window will display the message "DiskPart succeeded in cleaning the disk". Close out of the Command Prompt window by clicking the red X in the upper right hand corner.
restart PC.