Sounds like you have an overlap liner (ie, no bead nor track to tuck it into). While I've never heard of doubling up a liner like that, I doubt it would lead to harm. However, a liner change is a good opportunity to 'refresh' the floor of the pool which, of course, would require the removal of the old liner
I'll be following this thread to see if someone else has a concrete reason against doubling up the liners.
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