No, but it is your fault if you selected a facility operator that is only sporadically active (or if you were the facility operator who was only sporadically active). There are plenty of players who log in at least once a week throughout the month you can set as an operator. There's a maintained list of level 5 operators in the Traders Lounge who are active throughout the month, some people set themselves despite having a lower trading level specifically because they know they will be active, and I think most factions that are sufficiently large have a faction-sponsored FI operator or two that they recommend. If someone is only logging in once a month to be active for FI, then that's not exactly a reliable option since sometimes there are delays.
That said, you did state that you were active and the only operator but that FI was still not received for all the facilities you operate .. I don't follow. If this is the case, you should definitely submit a ticket and include some of the IDs of facilities that did not receive FI so it can be looked into. If you were the only operator, it should have been all or nothing, depending on if you were active or inactive.