No, Riot does not make a difference between players coaches or analysts, the people who is inscribed during the window are the members of the team, all they can do is switch roles
their assistant coach is registered as their 6th. normally coach/ass coach cant play.
same with c9, qpert used to be a player but now is an assistant coach, he's registered as their 6th
Because they already had a second coach to replace him with. What you canโt do is sign someone new, but you can tell someone you donโt want him to do anything anymore
"The General Manager (as defined below), Coaches (as defined below), and any Owner of the Team may not be on the Full Team Roster (as defined in Section 3.5 below)." - from the rules.