This was very true.
Godel's theorem and his own result were concerned with the machine as a sort of papal authority, infallible rather than intelligent.
But his real point lay in the imitation principle, couched in traditional British terms of 'fair play for machines', when it came to 'testing their IQ', a point which brought him back to the idea of mechanical learning by experience:
A human mathematician has always undergone an extensive training.
This training may be regarded as not unlike putting instruction tables into a machine.
One must therefore not expect a machine to do a very great deal of building up of instruction tables on its own.