I have Brother MFC-J430W and had same issue with Windows 11. ControlCenter4 cannot find the scanner. and I cannot use the "scan" button on the machine to scan to PC. I used windows scan app to do the job but its function is limited.
Now I found this discussion page and tried again. I did a clean install of the full brother software package, ControlCenter4 did not work as before. I tried to update the driver in the device manager, followed the instruction mention in this thread, there is only 1 driver for my machine "Brother MFC-J430W LAN", nothing else. (My MFC is connected through wireless not LAN.) I installed it. it shows a different error message this time. "[TW006] Failed to connect to the device". I donot know if it is caused by the wireless connection. Since my setup does not allow me to connect through LAN, I am still stuck with the temporary solution - the SCAN app.