If a radio clock stops (at a certain time) or suddenly goes wrong, could this be due to poor reception of the DCF77 radio clock signal?

For example, I put new batteries into my radio-controlled wall clock, and the DCF77 reception is good at the place where I put it ("the workshop"). Then I wait until it synchronizes to the atomic clock time. And if I then move it to another location (where the DCF77 reception is weaker and fluctuating), how…