If shailos several times per week is what many people are accustomed to, wouldn’t all pulpit rabbonim, or whoever is answering these shailos, be very busy every day answering many many shailos? Especially if they have a large congregation.
A shul with even just 50 regular mispallelim each calling their Rov several times a week should keep the Rov occupied close to full-time just answering shailos. Is this the common busy-ness of most rabbonim who answers shailos? If he has 100 regulars he probably has to stay up late each night answering all the shailos.