unfortunately I am not the player in one of the youtube videos
. They just should give an impression, what the piece sounds like.
I use lilypond for all my transkriptions, because i like the printed result. It's very readable, even under difficult circumstances. But this is only my personal opinion.
To have a tablature attached or not, seems to be a very personal descision. For me, I think it's a very clever team work between the advantages of modern notation and the old lute tablatures.