Yup...Ran into this problem while on a 10 day trip in Death Valley. Was powering an Iceco fridge from a 1000W power station. Plugged the power station into the AC outlet in the back of the 4Runner. Pushed the 400W button and during testing before we left, it worked perfectly!
Fast forward to the day of departure, come to find out the fridge is still working, but the power station is not getting ANY juice whatsoever! What the heck?! Messed with that for a good long while. Every single time I shifted from Park to R/N/D etc, the 400W light would go out and I wouldn't have any power to the power station. Great! Trial and error and plugged it into the DC outlet and it worked! At the time, I couldn't figure out the WHY.
Turns out that the AC power draws about 150W which exceeds the max of 100W...while the car is in Drive mode!!! That part made no sense to me, but the engineers at Toyota decided that I can't get my 400W while driving, only parked.
So, don't use the AC outlet, only the DC. You're better off spending a few $$ and getting a portable power station (it'll be more versatile anyways) and using that. If you live in CA, a power station of some sort and portable solar panels to keep things juiced up are almost a necessity (as is a sanity check).