Is there some essential difference between live streaming and recording the service to post the link to the videos for viewing anytime?
Is there any difference between watching a live broadcast of your favorite sports team vs. watching a recording of the same game/match? In some ways, no: it is literally the same action you are watching. But, in some ineffable way, it is not the same.
Participating in/viewing a worship service online while separated by physical space is already one degree of removal. When it is separated by actual time, this adds another degree of removal. However, for technical reasons like those you list, those degrees of removal may be unavoidable. It does create some interesting questions regarding the corporate confession and absolution.
One thing I have heard - people appreciate having the videos available on a platform that can be watched on their TVs, as it is easier for the whole family to gather and see well. Vimeo is only able to stream to a computer or phone/tablet... This is not a criticism, just something some friends mentioned to me. You may want to look into posting to YouTube as well, which is free. You can also use the Premier setting to have the video "go live" at a particular time, so the whole congregation can view at the same time, which does seem to add to the connected-ness in the separation. Just a thought...