Maybe @Mr Lucky who owns a Jazz/Saxophon based forum (who lives in the UK if I am not wrong) can give more specific feedback about copyright and stuff.
That more or less sounds about right.
Allowing members to upload their videos (that contain copyright material) direct to your site is technically an infringement of copyright. And yes the new EU laws have more teeth than just a DMCA takedown notice.
However if the members upload to Youtube and you then embed the YouTube video, then that I believe is a lot safer as explained, those videos will have been through the Youtube content match process and the rightsholder given the chance to disapprove and have removed immediately, or else approve but with monetisation (More likely in my experience)
The other way is to get an online exploitation "blanket" licence. In the UK we can get one from MCPS and these allow a certain number of streaming or downloads for small sites.
What you do need to be aware of is is that any music track generally can have two distinct copyrights.
The copyright in the composition (held by the composer and their publisher)
The copyright in the recording (held by the artist and their label/producer)
On a guitar forum I imagine very often the members are playing the melody/improvising on a backing track. If it is there own backing track they recorded themselves (e.g. in a DAW or iReal Pro or Band in a box) then that is theirs, no problem.
If they are playing a melody, then that could have a copyright (of course if they composed it themselves or it is old enough to be public domain they own that copyright). And importantly any improvised section would be deemed to be the same copyright as the melody.
And then, just to complicate things further, there could well be a copyright on any images and/or moving footage used in the video. But again if it's Youtube then you can assume it has been passed by content matching filters.
Can of worms eh?