Curious. I have a Studio with four dedicated hubs (one of which is a Thunderbolt hub) and three displays with hubs with all but three ports in use. And I do not experience any such issues. (There I just jinxed myself!).
Two of the dedicated hubs are powered (the displays are of course powered), two are not. Two are USB only, one is Thunderbolt, one has a variety of ports.
Sonnet Echo 5 Thunderbolt 4 Hub
Satechi Type-C Aluminum Stand & Hub
Sabrent 4 Port USB 3.0 Hub
An old HooToo Hub with seven data and two power only ports (I don’t know the model; I think I was using it with my 2010 Mac Pro, via a PCI USB3 card - the good old days)
Apple Cinema Display 20"
Apple Cinema HD Display 23"
I did have a couple of hubs that caused Bluetooth issues, but those have been retired. But no USB related issues. The Sabrent hub is even connected to the Satechi hub.
I do have a bit of a Franken-hub setup: Thunderbolt cable from MacBook Pro (original M1 model) to Studio Display. OWC USB-C Hub hanging off Studio Display.
It was all working fine for a few months after getting the Studio Display then recently I started finding my Stream Deck would go blank when I answered a Teams call using my (USB) headset! Given I had spent considerable time setting up the Stream Deck with buttons to control Teams this was suboptimal! I had so far put this down to the particular (high power, front) port I had my headset plugged into.
I quit using the headset (just using the SD mic/speakers) and have not had issues, except when I attached an old SSD for a pre-Ventura backup and it kept “unplugging” itself. I.e. I’d get the “you really shouldn’t do that” notification.
This is all recent so I am suspecting the OWC Dock is ageing. However, that same SSD and also a WD MyPassport Wireless Pro drive I have refuse to work if I plug them directly into the laptop. I have a cheapo StarTech “travel hub” I keep in my bag. If I interpose that between either of those drives and the laptop, they work fine. It’s kind of like a fake dongle. Both of those drives worked fine connected directly to my prior 2016 MacBook Pro.