Simple Internal HDD Swap

Can I simply put my internal HDD from my recently broken Xbox X into a brand new Xbox X console without having to format or hack the HDD? Or is each internal HDD specifically locked to the hardware/console in which it was manufactured?

I mean, if someone sends their Xbox in for repair and their HDD is dead, doesn't msft just slap in a new internal HDD? Or do they have to code it to work on that specific console?

Btw, I know I can just redownload all my games/apps into the new consoles HDD and I'm not concerned about voiding my warranty on the new Xbox X by opening it. But I want to know if a simple swap (without formatting/hacking) is still possible. Someone must know the answer.