SAK9,
Note that I said "usually". It would depend on the specific application and the percentage of MUA you are using. For a large commercial kitchen in locations where you experience those extremes for long periods, tempering the MUA would make sense. Consider also when those temperatures occur and will the hood be in operation during those times.
Most of my experience with kitchen hoods is for smaller hoods for something like Applebee's, or Chile's in southeast USA. For these applications where the MUA has been about 80% hood exhaust, we've gotten by without tempering the MUA. Going on memory, I'd say average hood exhaust was in the 2,000-4,000 CFM range.
I would consider it good practice to have MUA not more than 80-85% hood EA. This ensures that air flow around the hood is into the hood and as the MUA mixes with room air, also it will be tempered some, so you won't blast the cook with 1°C or 45°C air. Consider also some model hoods have MUA on the outside of the curtain while others have it on the inside.
If you're worried about the cook's comfort, you can reduce the amount of MUA and increase the amount of room temperature that is mixing with MUA to make the cook more comfortable. Just remember doing this will require more OA entering the building through AHUs and DOAS units which will need to be of larger capacities. As engineers, it is our job to find the right balance between economics and performance.
With regards to your concern about steam condensing and falling back to the cooking surface, I'm having a hard time seeing that happen. First, the cook top(s) is gong to be heating the MUA. Second, the hood itself is going to pulling steam vapor out as well. If you or anyone else has actually experienced "rain" under a hood, I would love to hear about.