It seems like you figured it out but that's exactly what you have to do with the actual eleaf firmware and changing atomizers/resistances. If you have an atomizer in TC mode on the pico (and I assume others with the same/similar firmware) and you take it off without unlocking and put on a new one, it will continue to read the original locked resistance AFAIK. If the resistances are drastically different it may re-lock properly, but especially if they're only a few hundredths of an ohm off in either direction, it will assume it's the same coil.
I would also be curious as to anyone who is using this with the Pico and SS.
@Firestorm where did you find the bin file? Sorry if I missed it...