Clearly the 32 amp MCB in the garage is not really required, it is no more than a switch. But it is easier to fit a MCB to a switch so that is quite common. What we don't know is size of cable to garage, would like to see 4 mm² or larger, but even 2.5 mm² is normally rated at 20 amp, so unlikely to be a problem.
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Garage CU populated and often the come with a 6 and 32 amp MCB, so are fitted with these even when not really an appropriate size. But in the house CU although they can also be supplied populated, one would not expect to find a 32 amp MCB if the cable was not rated that high.
I think likely your expecting a cold plug, and that will never be the case, at 2 kW the plug will always get warm, but not hotter than you can handle.