I noticed when you first joined, you were slow. I think I know the match in question, and we debated over who was to 'blame'..it is very hard to gauge that, and so we try to err on the side of just asking if people can speed up a bit. When there are 15 in a night time tourney of 7/9 points, someone messing about is no fun.
WE [TDs and most players] have no interest in making people play faster than they are comfortable with, and appreciate that complex games will take longer. If a 7 point match goes to 7-6, and the cube doesn't see much action, it is going to take a long time.
What is annoying, is matches which are slow because the player is chatting, not rolling, doesn't use tools like auto-roll when they have no cube in sight [stuck on the bar against a closed board, that kind of thing], doesn't toggle auto-move and spends 5 minutes deliberating over a forced move
, doesn't use greedy bear offs [and bears off very slowly], has too poor a connection to really be playing in long tournaments...that sort of thing.
All that said - you are nowhere near as slow as when you started, and I have not seen any ongoing remarks about your speed of play. You aren't doing any of the naughty list up there, and I don't mind my opponent thinking, at all.
There are lost of articles about backgammon clocks, and they are used in tourneys sometimes. Google it and see what you think.
There is talk of putting clocks on tourneybot tourneys..personally, for the most part, I hope not. The current 2 mins for a move is reasonable, and stops most unnecessary messing about. Clocks put added pressure where it doesn't need to be. I wont play in live tournaments with them, and I am by no means a slow player [my biggest weakness is playing too fast and missing things].
In terms of your '5 minutes' for a move situation - was that in a tourney? Tourneybot would have had you on the clock for that, and there would have been repercussions. If not, well, maybe there was a lag attack, meaning your opponent didn't get your move right away - that happens sometimes. For one offs, I wouldn't worry at all.