Printed Statement Style fees are triggered only by production of a regular account statement (based on a file called STPRINT01, which is generated only with regular statements, not CC statements). If a member gets only a credit card statement, they wouldn’t get a fee that particular month. If the next month they get both a credit card statement and a regular statement, then they would get a fee that time.
(Note: We do always produce a year-end statement for every member, no matter what their activity level, so even members who never do anything except use their credit card would get a statement style fee a minimum of once a year when December statements are run.)
Also remember that the fee itself is posted on the day that statements are generated. So if you get a regular May statement, the fee for your May statement would be posted on June 1 (which means you would actually see the fee in the transaction history on your June statement).