Welcome to the area. When you live here, it's not often you go for full days. My wife, kid and I rarely spend more than 5-6 hours at the parks in a single day, and usually it's closer to 4. I don't go expecting to charge at the park, and literally check the chargepoint app once as I'm approaching the turnstiles. If nothing is available, I still ask, since there's a delay in reporting available, but I know it's not guaranteed.
That's what Universal does, but you have to pay the full valet rate, they have a form you sign absolving them of liability, and they have even fewer chargers proportionally than WDW
Disney does have gas stations on property that are operated by a third party.
The chargers are the same - they're operated by third party networks.