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I don't assume that - yes it will probably take far longer for Humanity [or post-Humanity] to go intergalactic than it will for us to go interstellar [unless we develop some FTL or pseudo-FTL drive that allows arbitrary velocity/pseudovelocity] but eventually we will want to do that too imo, if for no other reason than survival insurance in case some moron with a Zero Point Bomb blows the galaxy up eh?

There is only one logical imperative that a Kardashev Type II[late] or III civilization might have to build Flying Ringworlds [the ULTIMATE 'mobile home']; as an extraGALACTIC 'ark' against a Galaxy going Seyfert etc or some worse unnatural disaster like the aforementioned 'Z-Bomb'. Since galaxies DO explode even for natural reasons it is entirely reasonable and imo both likely and expectable that any civilization therein which had advanced to late Type II or early Type III might seek to survive by fleeing it - survival instinct should be a Universal Constant of Life EVERYWHERE.

This might invoke the Fermi Paradox unless we could assume that all the Type II/III civilizations that have ever done so in the last 13.7 by only flee in OTHER directions than OUR galaxy...which I suppose is possible though there is no logical reason to assume us to be thusly 'privileged'.

Or we might hypothesize that there are no other civilizations that reach TypeII/III to be able to do so, or no other civilizations at all, or even no other life...any of which definitely invoke Fermi and would require us to be privileged here on our third rock from an insignificant and quite ordinary G star of a quite ordinary spiral galaxy in the quite ordinary Local Group of galaxies; ok to believe if one is a Bible-thumping fundy literalist who believes in a Special Creation <7000 years ago...not so believable if one is rational.