Short answer... no!
It's something that has come across my mind a lot recently, and struggle with.
It is also so very important for me to develop initiation professionally (which I am working on), for some reason initiation on a personal basis is a lot easier. Probably because reaching out to others in the latter is more meaningful vs. survival in the workplace.
I have no qualms with others initiating and me propagating the convo... I can listen and ask the right questions forever...
P.S. My psychologist says its fear of rejection and need for control of the situation naturally.