I can give my own two cents.
The EA chargers have cooling built into the cables - circulating a fluid of some sort (probably glycol-based). My hypothesis is that if this cooling system fails for some reason, then charging is limited to much lower power levels. I was once at a charger near Philly - there was a repair tech working on the cabinet next to me, and I overheard him on the phone talking about problems with the cable cooling, but I don't know how that charger behaved before the tech got there.
It is also possible that the cooling system is just overwhelmed in this kind of heat, and isn't able to keep the coolant at a temperature where the charger can operate at full power. But that's also a guess. Some people have suggested that a canopy over the chargers would be welcome - certainly it would be better if you could be in the shade while charging, but if the charger were overwhelmed by the heat, a canopy might help somewhat.
I wish that EA provided additional information on their screens for us data nerds so we could see how the charging power is determined at any given instant. I get that average people are confused by numbers, but the screen is currently kind of dumbed down, and most of the time it is good enough. But it really tells you next to nothing beyond the basics. So your only option is to try a different charger or suck it up and take whatever power you are getting from the one you are already on.
It doesn't help for this kind of trip, of course, but I had a strategy that I developed when I had the Kona was to charge 1st thing in the morning in the summer when temperatures were coolest. And as a bonus, I am not stuck standing out in the blazing heat trying to get the charger to work. For your trip, your 1st charge seemed normal enough, and then it went downhill from there.
This (in part) is why I think in the long term, switching to 800V charging infrastructure is probably in the cards. For a given power level, the cable current is cut in half, and the need for cable cooling is significantly reduced.