Every show situation is different. Sometimes directors and lead producers check in on a touring show every few months. Often, they have very little direct involvement with the various national companies of each show, and the "quality control" is left to a Resident Director/Associate Director, stage managers, music directors, dance captains, general manager/company mgr, and occasionally the casting director.
As one of Broadway's busiest directors, I have a hard time believing that Joe Mantello is checking in on the Wicked tour frequently. Famously, Hal Prince gives notes at Phantom on Broadway every few months (though I don't think he's checking in on the touring/London production), whereas Walter Bobbie doesn't spend much time at Chicago now.