Interleague Play between AAA and AA Farm Squads

Ocean (AAA) and New Mexican (AA) inter-league play
-Let's just see how good the talent is --- a barometer
for quality of play and Expansion

Though a little crude, my thought is not unshared-  Triple-A is where some high caliber talent goes to ride off into the sunset, and many next level guys are bursting at the seams to get to the big leagues.  That is to say that there are some high caliber players at the third tier down in fact ready or on the cusp for a shot.  Not many younger young guys at Triple-A,.... well not as many as at AA.  

For different reasons of convenience like geography, some rehab assignments are held at one level of the farm teams or another by disabled Major Leaguers.  But a lot of call-ups happen from the 'Trip-A team to the bigs.  In theory, AAA is on deck for the majors.  From time to time, perhaps more often than already occurs, shouldn't more interplay from the different tiers occur during regular season minor league play?

I don't think it's a bad idea by the time my fictionally created minor leagues (as seen on this blog): 

Tiers of Minor League Expansion

....by the time the league expands into the ballpark of 40 or more Teams in the MLB.

Inter-league games between both Rookie and A-ball levels would be neat too.  Rookie v. Rookie-advance and A versus A-advanced.