There is no relevance whatsoever. Attach it well and relax. The only thing they will be doing at your head is:

1) Putting a hairnet on you (no different than chefs at fast food joints)
2) Holding a mask over your mouth to give you oxygen.
3) Intubating you (tube down your throat).

None of that has anything to do with whether your hair is naturally growing or glued down.