I am surprised that taping the pitot and/or static is normal practice anywhere. It's simply asking for such an incident.
Yes in many gliders and power a/c, a pilot familiar with the machine will get around the circuit quite happily. I once discovered a blocked pitot while the end of the runway was rapidly approaching and decided it better to take it into the air than hope I would stop on the remaining downsloping runway.
It can get complicated in flapped gliders.
I would not tape ports or do anything else affecting airworthiness without leaving a note taped to the stick.