Several events per week is a ridiculous amount. TBH even once a month sounds a lot when you have a long commute and children/animals to sort out.
In my days of being a manager, I did use to encourage team nights every payday, and stick £50 in the pot for the first round. At other times I would do a "team lunch" once every 2 months but this would be booked out during work time and paid for by the company (the food... not the drinks but if people chose to have a beer/wine that was fine.)
One of the things that pissed me off about my last corporate position (and was partly responsible for me deciding to leave that world) was that we had a team split over multiple locations, we're talking hours of travel apart. If one of us was needed on another site, it required an overnight. Our dept head started a policy of having an on-site meeting for all managers and 2 direct reports per site, once a month, rotating around the sites.
(So for example:
January - Edinburgh - all managers, Dick and Jane from site 1, Bill and Chris from site 2, Fanny and Freddy from site 3
February - Manchester - all managers, Bob and Janet from site 1, Sue and Harry from site 2, Phil and Helen from site 3
etc etc)
The idea being, all of us as a management team could have a proper face to face meeting, which really helped when we were implementing some big departmental changes. And the direct reports would spend 2 days hanging with their colleagues on other sites, sharing best practise, putting faces to names, etc. It definitely helped with teamwork in that regard.
But what I really disliked was that on the second night there, the dept manager would "host" a dinner. It would be in a relatvely upscale restaurant and would technically be paid for by the company (using the "subsitence" allowance for everyone which was £35 each.) One month, one of the team members from a remote site declined to attend the meal as she was going to meet her FWB who happened to be in the location we were at. Dept manager threw his toys out the pram and said if people weren't going to come then they might not be invited on future visits. Unsurprisngly, team member resigned shortly after.
Anyway.... TL;DR - I think YANBU but some workplace cultures pretty much require a level of socialising and if you don't show your face to at least one thing a month, it may count against you if you want to progress within this company. And if you're in a specialised role, don't discount the power of the undocumented reference, otherwise known as "friend of a friend".
"Bob! Havent seen you for ages, how are you doing? Listen I hear you worked with Joe Bloggs on X project at Thingy Company. Confidentially, can you give me an insight into his skills for a technical role with direct reports?"
"Hey Sue! I'm doing good thanks, how are you and the kids? Yes I worked with Joe, unfortunately it wasn't a great experience and I can't recommend. He just wasn't a team player. "
This is the accusation that will be levelled. (Obvioulsly this depends on your manager's attitude.) And it will definitely hold you back if you don't "show willing" at some points. Just attending the Xmas party once a year will probably fix it.
Sorry for the typos btw, my laptop's trackpad has given up the ghost and it's 6.30 which is far too early to go searching through my boxes of old peripherals for a mouse :D