Csgo and 2 have a "trust" system to keep track of player behavior and put you in games with others of similar trust value. So if you get reported often or have a history of bad behavior, you're more likely to be put in games with other bad actors, and vice versa. Idk how effective it is though.
Honestly there isn't a great solution, which is kind of why I avoid competitive multiplayer games. Even kernel level anticheats can be circumvented.
The nice thing about vac is that theres pretty much no false positives. And valve will occasionally update it, catching a ton of cheaters off guard and getting them banned.
Capaldi's era is definitely a bit more on the serious side. Jodie's era is unfortunately not very well made as you've probably heard, a lot of early episodes take themselves too seriously, and often try to make a point but completely miss the mark.
You'll probably like the new season with Gatwa though, a lot of it is very campy (sometimes to a fault IMO), with some amazing more grounded episodes mixed in.
You can mostly skip to the new season. The only thing you need to know is:
Spoilers
Galifrey is destroyed again by the master, who reveals that the doctor isn't a time lord, but an unknown species from another dimension that the time lords stole regeneration from.