You don't need to bring your library. Having your library split between multiple platforms isn't a big deal and most people do it. You just don't give them any more money.
People didn't not buy DVDs because they had a library of VHSs.
I'm not talking about replacing your VHS collection but buying DVDs in addition. You would still watch both. Maybe buying a DVD player was a barrier. But it wasn't that you owned VHS.
Blueray/HDDvd was out before the majority of people stopped using their vhs collections.
Do you have a citation on this? Personally I was DVD only until I got an Xbox One, which could play Blurays.
And we got DVDs because my brother marketed getting a PS2 to my family as a DVD player and a Video Game system, as one of those alone cost the same as a PS2 at the time.
And we gave up VHS tapes long before, as space is at a premium for us. Worse quality, worse features, more work to rewatch something, bigger format, etc.
Ok then switch to streaming. My point was just that just because you have a VHS collection doesn't mean you can't get media in another way and still use your VHS collection. And most people would use both while they transitioned. Throwing out all your VHSs for the hot new thing isn't something a lot of people did. Or throwing out all your DVDs because streaming is a thing. People aren't restricted to one thing.