I called the shop to see what kind of coolant they used, so I could add more of the same, and they said "green, anything green"... Is that really how you tell what the correct coolant is? Aren't most of them green?
I think you've figured this out now, the shop you took your Commander to are IDIOTS.
All the brands are dying their anti-freeze all different colors, do NOT trust the color of the anti-freeze as an indicator of what kind of anti-freeze it is.
I see jugs of what looks to be OAT anti-freeze dyed green now.
First thing to know, is that you should have time to deal with this. The problems that come from mixing anti-freezes or using the wrong one, happen a year or more down the road. It's NOT like your cooling system is going to gunk up by the end of the week.
Yes, HOAT is the recommended anti-freeze type for the Commander. You can buy it from the Dealer, make sure to state HOAT anti-freeze cause the dealer also sells OAT. Or you can buy Zerex G-05 which is the aftermarket equivalent of Chrysler's HOAT.
Mixing incompatible anti-freezes or NOT changing them when the anti-corrosion package depletes is what causes damage.
OAT won't protect certain metals or older designed water pumps in older cars, so using OAT in an older car could cause corrosion/erosion damage. GM's version of OAT, DexCool, uses a chemical that is particularly incompatible with other anti-freezes and will damage certain plastics and rubbers used in older cars.
The original Green IAT anti-freeze and HOAT won't damage vehicles, provided its changed out when needed and the IAT you need to use distilled/deionized water to mix with it.
So, for the Commander:
Remember the big thing is NOT to mix incompatible anti-freezes, the Commander is modern enough it does NOT have old metals/plastics that are incompatible with the chemicals in new anti-freezes.
As long as you fully drained and flushed out all the old anti-freeze, you could use any anti-freeze you wanted, as long as you don't mix it with an incompatible type. It would be very unlikely you would run into problems. BUT, clearly the safest and best thing to do is to use the anti-freeze recommended by Chrysler.
If you use the original Green IAT anti-feeze (don't go by the color make sure its states what type is on the jug) you should mix it with distiled/deoinized water, near the end of the anti-freeze's life it can react with the minerals in tap water.
You could mix the original Green IAT anti-freeze in with HOAT, HOAT and IAT are compatible and mix just fine. That is considering the water mixed with the existing HOAT is distilled/deionized. And then you need to change the anti-freeze at the much shorter IAT interval, otherwise the anti-corrosion package in the IAT could cause gunking or reactions in the cooling system. Again, just using the HOAT like recommended is wiser.
Right now 3/4 of the aftermarket anti-freeze market is NOT identify what type of anti-freeze they are selling in their jug. They have even gone so far as to stop listing the ingredients on the jug so people can't identify the type of anti-freeze by the ingredients. (They get away with this by registering the ingredients as a trade secret). Most of the stuff they are hocking, vaguely eluding to it being an "Universal" anti-freeze is actually DexCool which is the least Universal of all the anti-freezes.
Prestone has been sued in court and lost, the court finding their claim their anti-freeze met all manufacturer specification is false and deceptive. Yet they still "elude" to it on their jugs of anti-freeze.
Thing is, the OAT's and Dexcool have been improved over the years and reformulated several times, so they don't react or gunk up right away like they used to. This is the only way these companies are getting away with this. By the time your "Universal" Prestone product gunks up your cooling system because you mixed with an incompatible anti-freeze, it will be so long after you bought the product they have plausible deniability.
Hate to say it, but the best thing you can do for your Commander, within the next year, is too drain all the coolant, thoroughly flush it several times to get the all the old coolant out, and then fill it with Zerex G-05 mixed 50/50 with distilled water. Use the air bleed plug hole to fill it to avoid the air bubbles problems again that the shop caused by improperly filling it.