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I have not seen the back of the box. But according to this site, the box is WiFi enabled.
now I see from this link it has MOCA coaxial. With ability to connect 4 more devices via WiFi. https://www.telecompetitor.com/verizon-intros-fios-tv-one-upgrades-fios-tv-experience/
However you could still still use a MOCA adapter and splitter with your own router.
You might want to give it a try.
VMS does need ethernet (no wifi).
Try connecting ethernet to it and disconnect coax (you will lose regular channels)
Try to see if on demand still works.
A Coax connection is required to receive TV service, with Fios TV One Mini, you will need to use MoCA in order to be able to use them with a third party router. The Quantum router has a private network the Fios TV One Minis auto configure with and I do not believe there is a way to connect them to any other network easily.
It is not guaranteed that should you successfully get the Fios TV One working with a third party router that all services it uses will function properly or at all.
This can also have an impact on the level of service a Tech Support agent might be able to provide when you do not have a standard configuration or if there is a possibility your configuration can interfere with the normal operation of the your services or equipment.