Do my installed distro and live distro have to match when doing repairs? (eg. bootloader)

Can I use an LMDE-Mint live USB to repair my installed Garuda distro? I broke my Garuda install after updating, and after restoring a snapshot it still won't boot, which, as I understand, is a result of the snapshot using a previous version of the bootloader. I want to use a live USB to chroot and reinstall my bootloader, but my live Garuda is long gone and all I have lying around is LMDE Mint. Is this still possible, even though they are based on different distros, or do I have to recreate a Garuda USB stick?