I really like this idea. :thumbsup: Perhaps presenting your problem to a local 'artisan' for their ideas. Because it would be a unique 'fix' the sleeve maker would reduce the price if they're allowed to use it for future advertising of their craft. A fancy band would cover up whatever method you use to re-bond the two pieces.
This is (somewhat) similar to a problem that I had with my actual double 'french doors' (individual panes of glass)... over years of time they'd expanded and would no longer close. A carpenter who specialised in these doors recommended all new doors. I suggested to save the existing doors and install metal brackets, inside & out, to brace the doors. The carpenter hadn't thought of that ('blinkers on').
Anyway, he got a local metal shop to make up the bands/brackets and 'saved' the existing doors. He now has something else to offer to future customers in a similar situation.
I'll upload some pictures of the doors if I can get my computer to cooperate.
ullinghair: