They're privately owned, not operator provided at both locations - I believe.
Arcade Club fixes its own games with their own people and they have a seriously high footfall, so even for games where I know the people in their employ are top notch and are ultra-enthusiastic; the games will sag by the end of the weekend every week just because of sheer use.
The wrinkle is that they don't have that kind of skilled technician in their staff for the pinballs and have to get help from the professionals of the pinball community every now and then. They absolutely care about their games and pinballs, but their video game guys seemingly aren't interested in developing the skillset required to look after the pinballs... to be fair it's more like classic car repair than pure electronics so I can sort of get it.
A good number of months ago I was chatting to someone I've unfortunately forgotten the name of who was keen to learn about looking after the machines, but he was still new to the process and we know there's a lot to learn. I'd gotten free drinks for the day off them because I adjusted a trough switch and replaced a fuse on their Addams Family... (nice bunch o' folks, but I already knew that before I offered to stick my grubby mitts into the TAF!)
That being said Arcade Club is seemingly making money hand over fist and is moving fast; their new Leeds venue seemingly exploded out of nowhere and it is almost as fully stocked as the Bury location, only missing out on pinball machine count. It's quite possible they have a guy that is as technical as their video people are, for their pinballs, since I'd chatted to them.
But there's nothing you can do about the games sagging by every Sunday afternoon unless you're doing it NLP style and are actively fixing mid-show.