I'm going to answer the title.
I don't see how this can work. If a problem exists in a relationship-then THAT problem in THAT relationship needs addressed.
When my DH and I were having issues-WE separated, he got his own apartment and we reverted back to dating each other with specified times and availability. We did counseling, we worked on OUR issues.
But taking a break from my relationship with GG because DH and I were having issues? No.
"Love As Thou Wilt"