your answer is yes. I remember a rep from hashfast saying that there would be overclocking temperature logic built into the chips themselves. They will adjust the hashrate and intensity if a lower temperature is detected. Best believe it makes a lot of sense to mine these in something akin to an icebox or freezer just to get a huge overclock.
Not a good idea.
a) compressors on fridges are small. They are designed to keep cold stuff cold not remove a 1.2KW heat load.
b) cooling below dew point = condensation onto components which probably don't enjoy getting wet.
I'm just quoting a quote that I heard which is - condensation collects on objects colder than the ambient temperature surrounding them - Asics will always be warm/hotter than ambient air. But I completely understand your second point on A that they are meant to maintain a constant temperature, NOT remove heat. Now you have me thinking about how I could do it but have something cost effective. A data center is obviously available for me but this is pretending that I don't have that and need to run my own home electronics freezer.
Water moves. Condense on cooler metal parts and drip, flow, puddle to the hotter actively electrical ones. Cooling below dewpoint is generally not a good idea.
As for what to use. You need something which can move a lot more heat. 1 ton AC = 12,000 BTU ~= 3KW. A window AC in a insulated box would work. Just don't try cooling below dew point. However at some point using chilled water cooling starts to make more sense. The HF modules are already designed to be fitted with a waterblock.
It says in the shop "These machines include a high performance water cooling system with a back mounted radiator."
I guess we won't know how hard they can be pushed till we see them in the wild.