My experience is that playing control in crossplay is absolutely trash. The script goes like this: One team dominates and captures all zones, then the game begins to spawning the loosing side players between A and C in order to give opportunity to capture. This continues some time, then loosing team players leave the game or the game ends to mercy. Winning team has usually one or two players with double digit KD (20 is not unusual), and the rest are ballpark 2. Loosing team is typlically below 1.
My understanding is that Bungie reduces the network resources for these "non competitive" modes significantly which means that lag is huge and the game is very unbalanced. Moving crossplay to PS gives a better experience, but it takes quite a bit of time to collect players for the first game, but after that it is quite OK. I do not know what is the reason for this delay for the first game, but it is odd.
Anyways, it would be nice if the game would have some consistency after 7 years.