Yes they will because it will request FTDI drivers to be loaded and they belong to FTDI and are only licensed for use with genuine FTDI products
Devices don't request anything, you are making things up. It's the OS (Microsoft) and the driver (FTDI) that decide what to do with a given device.
FFS the device provides the VID and PID which tells the OS what drivers it needs.
But isn't the
provide verb just in the opossite side of the
request verb in terms of client-server communications?
The main difference is that, really, the device isn't in position of ask (request) for nothing. The Host (PC in this case) is the one deciding the whole thing. Even if the device provides a specific VID/PID, the Host can simply deny loading the driver, load an alternative one or open a new instance of Paint app.
First rule of USB communications:
ALL REQUESTS ARE INITIATED BY THE HOST. Once you deeply understand the true meaning of that law, you may start programming USB related stuff.