What you are saying here is: your standups are poisonous. Ours on a 8 man team only take 10 minutes on average, and we have no team lead. They don't all have to be, if yours are, change them.
Also, instead of fixing the stand up, his solution is to generate a whole bunch of crappy paperwork for the team lead (email, pdf stored somewhere, blah blah).
+1 Our 6 man team takes also 10 minutes the most. Everybody knows from previous work experience how annoying long meetings are. So we really just talk what everybody is going to do roughly for the upcoming week and coordinate if somebody needs to talk to another team-member for a bit longer.
So everybody knows what's going on, but the details are discussed separately.
It seems like in his poisonous meetings there is too much detail for everybody.