Whether the term used is Mayday or Pan Pan, it shouldn't really matter.
It's just a statement that your help is required.
That's a very one sided, and somewhat ignorant, statement.
Flight Crew are not the only ones to have training and procedures to adhere to as best they can, air traffic control too have their procedures, particularly emergency procedures, and if they have hit the emergency button then, pretty much, all hell breaks loose, the fire service, ambulance service, police etc. etc. etc., they all want answers and they want them now, it can be pandemonium in a tower when "an imminent loss of life" has just been broadcast to them and get it wrong then serious and legal repercussions could follow.
Sure it can be more nerve-racking in a flight deck than in a tower but you applied for your job and I applied for mine!