I think it would take a very long time for it to affect the print, provided the back of the frame is not sealed off as Paul warns not to do. But it just might contaminate the edges of the mat board to the point where you'll see a bit of yellow under the glass around the edges of the frame - and that might be, my guess, after five or ten years. So it sounds fanatical, but you're probably doing a good thing to seal off the inside edges of the rabbet somehow. I would suggest gluing - with acid-free PVC glue - narrow strips of a barrier paper like Permalife, which is a buffered paper if I remember right. I think I'd leave the rear surface of the wood uncovered and unglued, however, to allow the acids to escape out the back way. It's probably also better, n this respect, to use unfinished wood for your frames, rather than varnished or painted in any way. I'd definitely avoid stains (mahogany, etc.), which are probably volatile unless very old.
Of course a framer could do all this (for a few dollars more, naturally), but very few customers are this conscientious or demanding (or have any idea what contamination means).
Allen