If the tech is an idiot probably yes, but it’s unlikely. If they remove the germy mouth piece with the same hand they put the new one, then it’s contaminated.
I once saw a nurse sneeze all over a jar of cotton swabs (no top in the jar) and then wanted to use one on me on an open wound. My sister got an eye infection after getting her eyes checked, I’m sure it’s not a coincidence. I suddenly got an infectious something on me after going to the dermatologist for a regular check up (she was going so fast she must see ten patients an hour, it was a disgrace). I had an ultrasound tech touch something in the bodily fluids trash and then put the protector on the wand for a vaginal ultrasound. I have many more examples of unclean behavior in medical facilities.