Beyond dimensions was for TTGL (as stated in the novelization, Final Drill and a few interviews with Nakashima).
From what I've seen Otoko can be reconciled with either the Anti-Spiral hiding between the 10th & 11th dimensions not being a cap on the number of dimensions (similar to how Marvel had a meeting of the Living Tribunal & Eternity in the 16th dimension even though Marvel has many more dimensions), or that the different multiverses have different laws of physics, including dimensional layouts (such as that one Dr Who story with Saraquazel coming from a universe with 27 dimensions to one with 11). TTGL & the Anti-Spiral would exist beyond dimensions in either case.
It is possible that even without Otoko the Labyrinth could reach an uncountable infinity of universes/multiverses even without having to go into dimensions or R > F, but to verify that you'd likely need a degree in mathematics. XP
In anycase, hopefully this brings more attention to the more obscure Gurren Lagann feats (and I wonder just how much of the stuff I found they will use).