Heating problems on GT Sport

GTI's said:

MKV TDI have a G32 sensor. VW has been using coolant level sensor for years.

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I could see the prongs in the tank, obviously I think that's when it is almost all gone as the prongs were still in the fluid but at minimum level. I'll see if it solves the problem first.

Will a proper diagnostic computer find the fault?

A proper scan tool will find whatever faults you have and they may lead you to your heating issues.