There is no "unlock" brand of batteries. I do not know what you have. Personally I would not use any lithium battery which gets hot. There is a fire hazard with improperly made lithium batteries, compared to poor quality NiMh batteries, a sensitivity in the chemistry where any contaminants cause a problem. Lithium requires high quality manufacture from reliable companies (so laptop and cell phone batteries should come from the major suppliers).
I would want to know exactly how hot these batteries get, using USB measurements with the Neato Control Program. I would also contact the supplier for advice.
There are some lithium Neato batteries sold from unknown sources on Aliexpress, but the reliable Neato lithium battery in Europe is from ANewPow (same as LithiumPowerInc in the U.S., a Taiwan company). It appears that Cyber-Tech is also a distributor for them. AnewPow batteries are made with LiNMC chemistry safer than regular lithium in cell phones and laptops, used in power tool packs. Users of AnewPow batteries have not reported any error messages for temperature. It is possible you received a defective unit.
fake battery report YouTube
https://www.youtube.com/watch?v=NNHzYx8FEh0