Like mentioned above if you have managed to get to a relatively senior position without knowing how to play the game hats off.
I don’t agree about presenteeism, though I can see why people think that. It is about being involved with the right people at the right times. Analyse the time you spend with colleagues. How much with the board, how much with heads, how much with peers, how much with teams. If you want to climb the slippy pole you need a greater % with the seniors.
Little tricks of the trade I chuckle when I see them, things like sitting in the atrium right by the entrance on your laptop from 8am whilst most people arrive, Knowing what time the FD goes for a coffee and aim to be in the queue with that proposal in your hand. Time delaying your emails so they send later. Sending the odd out of hours text or taking your bosses call. Actively trying to find a reason to talk to the board and get them to give you a task. I could go on. This sort of thing makes you look visible without necessarily meaning you have to be in the office 24/7.