Yep, all the (original) doors and hardware in my house have been painted over. So many layers of paint. Unfortunately they have also had stuff screwed in, nailed in, have been drilled through for various additional hardware, etc. so they can’t really be refinished to be restored..
I’m repainting them and changing the hardware out completely (it’s the old style inset locking mechanisms, so limited options), but that’s all I can do without replacing the doors themselves.
I’m not sure why you find that unlikely at this point..?