I think import/export of stats is pretty doable. Not a tiny amount of work, because of how many stats there may be (regular, extended), but I don't see any obvi

I think import/export of stats is pretty doable. Not a tiny amount of work, because of how many stats there may be (regular, extended), but I don't see any obvious major challenges ... Similarly for disabling autoanalyze. We kinda already allow that for autovacuum (ALTER TABLE ... SET ...), so adding autoanalyze_enabled seems possible too. Or you could just set the threshold/scale_factor very high ...