Sure, anyone could *administer* anaesthesia.
Doing it safely & being prepared for all the sudden curve balls is quite another thing.
Anaesthetists are amongst the most highly skilled, intelligent & cool under fire doctors you'll find in a hospital.
There is no safe substitute
The moment someone thinks you need to go to Med school to administer anaesthesia in the face of all the contrary evidence is the moment that it is evident their critical-thinking skills and self awareness are compromised. You’re still muddled about AP/ anaesthetist though