If you have a thing that incorporates a motor, and you remove the motor, is the thing still considered a motor? This has usually been ruled not a motor, and thus acceptable (and justifiably so). However in this instance, the thing is itself sold a “Globe motor”, which could provoke confusion and possibly a different ruling.1
If it were me doing the inspection, I’d permit it. It might be worthwhile getting it on record from FIRST (via Q&A), so that all of the inspectors are on the same page.
(A possible complication is the issue of integrality: it’s not really defined, except by example. If I remember correctly, the gearbox on the Globe initially wasn’t considered integral, then it was integral for a while, then it wasn’t again. And in 2012, the AndyMark gearmotors were considered to have integral gearboxes, despite being straightforwardly removable.)
1 The 2009 Q&A stated that a motor (described there in the context of a motor without a gearhead) could not be modified beyond the limits of the manual, even if not used as a motor.