It's not even an indication of fault. It's actually their internal sales/marketing system that flagging these messages. When they notice something like a large deposit, it triggers a message because they want to sell you a new account. Maybe it's savings, a CD, or you're getting ready to buy a house and they can help you with a mortgage. The average teller or even customer service person can't turn off these notifications, although, you may have some ability to opt out of them. Unfortunately, I find opting into useful notifications also opts me into useless ones, so I just ignore the texts...

Your whole arrangement of having an operating account separate from your wealth accounts is highly regular.

Edit - sorry realized I replied to a reply! Put air quotes on You/Your