Can I keep using my TiVos

I currently have xfinity internet, xfinity tv service (older grandfathered-in plan), 2 working TiVos with xfinity cable cards, and X1 box and xfinity DVR service.

i just got att fiber internet in my area so will use this for internet due to much better upload speeds I require for my home business needs. I also need to keep xfinity tv so I can record local cable access channels for an ongoing project.

question….when I drop xfinity internet, will my TiVo cable cards continue to work? Again, no change in tv service. Just dropping Internet