Nope, they don't share information and even if they did, the baseline for getting the DAS seems to be very different on both coasts. But really, all you need to do is explain your needs and why a mobility device won't accommodate the issues.
This is an area that SeaWorld really excels with, once you get their assistance pass at any park, you can go to any of the parks, simply show them your ID or give them your ZIP code and last name and they will renew your pass with nothing more than asking if your needs have changed since the last time you got a pass and even that many don't ask unless you let them know they have.
Now, the first time you get a pass at SeaWorld, you do have to fill out a Mobility Questionnaire, basically stating you can use the restraints and if you have artificial limbs, etc. then they tell you what will and won't work for you based on your answers. But once you fill the form out once, the only time you ever have to do it again is if something changed, i.e. your leg was literally cut off. And when they say they keep it on record forever, they mean it and no, they won't share it with anyone unless the legal system compels them to do so.
SeaWorld does use the return time system (but usually only if the wait time is over about 20 minutes and even then it is up to the employee), but overall they tend to treat those with disabilities better. Heck, at SeaWorld San Diego, the Handicap parking is about 50 feet from the entrance. Seriously, it is closer than even the old preferred parking lot at
Disneyland back before DCA was built.