Lead inbounding on sideline

[Amesman]

Really tired of getting conflicting advice from officials I respect, and now worried I'm passing along bad advice to subsequent partners.

In a two-official game, does L ever administer a throw-in along the sideline?

Situation pertains to ball OOB sideline below the FT line on lead's side. L whistles the play, of course. But does A) lead just bounce it a few feet up the sideline to get game restarted for the throw-in or B) should T come over to bounce it down the sideline to initiate throw-in?

I'm with B (when it's not a four-game rec-league morning). But yet again yesterday, I had a waaay veteran official tell me at hour hs game yesterday that lead "takes care of his line" and should administer.