If i’m understanding what you’re saying you will still have to make a trip to immigration if you are staying longer than 60 days for a tourist visa
A tourist visa is valid for 90 days and gives you 60 days on entry, which you can extend at immigration for another 30. It’s not a visa that lets you stay for 90 days without going to immigration.
what visa did you apply for? My METV took a month and a day to be approved and was suggested by someone it could have been intentionally delayed since that visa starts the day it’s issued, not when you use it.
I reached out to my embassies fb page on messenger for peace of mind and had it within a couple days
i think the agents are being opportunistic with driving up business, it’s pretty obvious between tourism (frequent/semifrequent) and what’s being labeled as abuse