pros and cons
To have all that, there should be some goal. A goal which is important for the civilisation. Convinience of work commutes from galaxy to galaxy, sounds fun and an interesting topic to investigate which differences it brings and all that, but it is wasted opportunity without a goal.
Let's say they made a ring in our galaxy, idk 50'000 ly diameter of that ring, a billion times slowdown of time - Hooperloop V5billion
Being in the loop, for subjective time your cycle time is aroud 2-3 hours. Let'say the ring goes trough a million stars, and each star hosts K2 super computer cluster. Each 2 or 3 (let's say it 2) hours you gather information and upload information to each cluster, which are in regular space and it means they, from your perspective, work a billion times faster than if they would be in your framework. So if you solve some problem, let say working on unification theory, technology development, etc then if things are done rigth you can have ample benefits from the situation.
But humanity also is somwhat a supercluster which could benefit from a billion times faster information processing, meaning being in regular time also has certain benefits, for a civilisation as it has more time to evolve before some points of no return for possible strategies.
If a civilisation waits for galaxies to arrive at great attractor place, or most likely they are on the move there as a civilisation, to be there and ripe the fruits of that place according their future oriented strategical plans of development for next few hundred billion years - break trough to a different universe, prepare for ripoff of space, outlive last free atom in universe etc
I mean goals should be grand, and other conviniences is just side product, so as it not always beneficial to be in slow space, if you did not set things in motion properly, etc.