Something I missed in the last post- When I said that coolant messes with the recuction catalyst- It does that for sure, but it's doesn't "poision" the cat. It burns out in the natural processes of the whole entire assembly. that part of the issue is a self-correcting situation. Hope I didn't scare you with that. Other chemicals, fuel additives, etc- I'm not talking about that. Just coolant...
Def tank overflowed? Hmmm.... There's coolant in the DEF tank, to defrost it in the winter time. I'd bet you'd see if a quart was gone, or if you're not sure check it now, and you'll certainly get a result in a short time. Unless you have the green coolant. I'm pretty sure you'd have the gold coolant in that one, harder to see, but the green coolant would show up right off just by color. My vote is it was a mechanical thing that did that. The tech carried a loose tank to the bulk bin to fill it before installation (speculation only), and got it filled while it was tipped, so the air space filled. Or perhaps it was filled before the mounting hardware was tightened. Maybe something on the trailer got the air space in the tank all wierd? If it were me I'd keep an eye on the coolant for a bit, but I wouldn't loose much sleep over that just yet.
Overconcentrated kind of goes to extended storage, or unsealed storage, or generally evaporation. Can you smell DEF where it's stored and/or around the tractor when it's not in use? If so, the storage isn't adequate, or there's a vent not doing it's thing on the tractor tank. You said you have the same DEF in other machines- Are you topping them right up to the top every time you fuel up? If so, don't do that. My rule of thumb (which is not a rule, it's not science, it's just experience) is that if you're in a commercial truck for example, where it gets used a lot, don't fill the DEF until it's half full or less. In equipment where the use is sporatic or intermittant, let it go to at least a quarter, maybe lower. The stuff doesn't get used that fast, don't go pushing limits, but let it run down. Packing up for long term storage is different, Full or drained for that, but for intermittant use... Use enough that it keeps the whole tank fresher.
I'm not jumping on, but not ruling out that the DEF you got may have been at a higher percentage. It can happen before you get it. They're very good about going batshit crazy if they think the concentration is low ('cause "cheaters"....), but if it's high, they're pretty good about "getting by" for a tank or three before they get upset at you. So that's plausible as well.
Overall though, just make sure you're getting the DEF from a decent source. Totes from a busy parts store, where they're not all dusty on top of the box. Bulk at the filling station, but only if it's a genuine truck friendly place that actually keeps it moving. Smaller places are starting to show up with that, but dont' have the volume to move it very quickly.
Wherever you're sourcing DEF, don't sweat the brand. Most manufacturers (and I'm SURE John Deere as well) will either recommend a brand, or have a private label of their own, one way or another having a paper contract with somebody. DEF is a little unique in the automotive fluid world. Most all automotive fluids, including fuels, don't have a "recipe" for making them, they have performance specifications. The actual molecular and chemical makeup can very tremendously from one batch to the next, but so long as they meet the spec number, they get the job done. DEF is a chemical. No negotiations, no marketing wank for the sales department to get ahold of. (Note the lack of advertising for DEF....) No performance specs, because they're not needed. It's literally all the same. Kind of a little relief in among all of it's other blessings, you can't get a bad one unless it's a genuine coutnerfeit..... Aqueous urea, 32.5 percent, plus or minus some small amount, less than a percent up or down when it's new. 0.7 maybe but don't quote me on that. Get it where it's cheap (although maybe skip eBay and the dollar stores). Get the store brand over the blue brands, no worries. But mostly, the thing that gets you the most security, get it where they move a bunch of it so you know the inventory hasn't sat.