I, too, have experienced this problem of the primary chain tightening-up when tightening the gearbox bolts. I think it is probably common. First, I don't think it is well advised to run with the primary chain too tight (sorry if this contradicts other advice, even more sorry if I'm wrong). A tight chain puts more lateral load on engine, gearbox and clutch bearings. Though I won't swear from experience, I believe this has strong potential for damage to the bearings, particularly the engine main.
The technique I now use is to avoid loosening the gearbox so much that the gearbox has any potential to get twisted out of alignment when doing the tightening, with the adjuster working against some friction from the snug plates. Then if there is still some tighten-up (not the song by Archie Bell and the Drells), I try to predict how loose to leave it before tightening. By feeling through the the oil filler hole, it should be possible to do this without dismantling .
Richard L.