The adhesive strip being thin doesn’t matter as long as you replace with new adhesive and force sensor ring. The important part is to clean the old adhesive off, like completely off. The metal seating surface has to shine like a mirror and the screen bezel has to be absolutely clean, no dirt, oil or leftover adhesive whatsoever.
After that, carefully apply and reseat the display should be OK. I have a procedure to test for seal quality for iPhone, but not for Apple Watch so there is no safe way to test it yet.