As someone who has a lot of wrestling experience and with little bits of other things there are a few things that come to mind.
Wrestling is an old sport
BJJ declares itself to be a unique discipline relative to other MAs and as such it's less than 100 years old. Same story with Taekwondo, and I can imagine if you live in the western world most people are learning disciplines that, while they may have historical continuity, are cultural transplants.
Wrestling is not like this. Wrestling in some form has been practiced by many cultures on small and large scales. The aggregate of knowledge and refinement that wrestling has to pull from is larger than even the oldest Asian MAs.
As a side I don't know if I agree that Judo falls into our category of ultra strategic sports by this measurement, but the Japanese make very good wrestlers, just as good as the Indo-Europeans who have been wrestling since before the classical period that we inherit the tradition from.
There is no striking and there are restricted use of locks and manipulation
This means that athletes can spar for longer with higher intensity and have lower risk of injury. The average age for an American competing on the Olympic wrestling team is 27, while most MMA fighters with a striking background are retiring at that age.
I think it's clear that you can devote more time to your sport when you aren't getting hit in the head or when someone is trying to snap your arm. So the time cost of pushing the envelope of how hard you can hit, how hard you can get hit are not present, nor is the risk of being injured by a submission and more time can be devoted to training that deepens strategy.
I'm not saying that other MAs are non-strategic, but the likelihood of reaching a certain level of depth decreases with the increasing risk of a knockout or submission. One thing I always hear people say in the striking and BJJ game is that a fight can end from anywhere at anytime. This is also true for wrestling to a certain extent, however, and I can't find any data on this unfortunately, pins are less and less common as you go higher up. I've also heard that the inverse is true of striking MAs, that knockouts are uncommon at lower levels and more common at higher levels.
I'm not sure if there is any good data on these points but if anyone has something to contribute I would be interested in hearing more.
edit: I missed the point of your question was about the content of wrestling strategy rather than wrestling strategy vs other MAs so I guess I should delete this?