"that is, it produces 35 W of cooling per 1 kW consumed."

No, they don't. First, without defining a delta T, efficiency is meaningless (unless its a Carnot cycle).

Second, the efficiency is (depending on op. point) higher than 100%. See [1]. You can pump 20 W of thermal power with 2 A @ 4 V = 8 W

20 W of cooling for 8 W of work, or an efficiency of > 200%. This is common to all refrigeration cycles, and frankly for a puny 10C, it sucks.

[1] https://www.datasheethub.com/wp-content/uploads/2022/10/data...