Yup. Plus even If you gave Rick the Omega Weapon you'd pretty much have to give The Doctor, The Glory, by that logic (since while The Doctor isn't the owner of The Glory him and The Master both battled each other using its power).
Though The Glory isn't even needed. Just absorbing the Time Vortex should let him no-sell it.
In some ways I think the Time Vortex is The Doctor's best wincon since even though The Moment might be more powerful, it doesn't really provide him any defense before he can use it whereas with the Time Vortex absorbed The Doctor is pretty much a god of time so his defense and hax resistances should be just as insane as his reality warping offense.