Did he bring you under the car to show you Pic A, ot did he bring  you the cap and  to show you pic B?
 
I ask to understand more clearly ?
 
1,  the  Paper filter needs something to hold in place,  and as well on the car, so pic B twists  on into Pic A.  Only way to damage this is to have some one do  the oil change Wrong ,  I have 2 corollas same oil caps,and I do my changes and never damaged or seen a loose part, I have struggled  to get it off  and still never damaged it?
 
You asked is it necessary. Scott and Don are on a vacation and Love to hear their thoughts.  You could probably get away without replacing it.  for sure.
 
Did they replace the whole cap and all or just the inside, personally this is one reason  I don't trust shops.  But we have to take their word for it
 
A
	
	
		
		
	
	
 
B