IME that depends on the USB serial adapter. Its the same for both Linux and Windows: some work OK and some don't work at all. I got good results from a pFranc adapter, but that was several years back.
One possible gotcha is that they get assigned named device files, usually of the form /dev/ttyUSBnn where 'nn' is 00 to 99, as the adapter is connected. IOW the order in which adapters are connected matters because it determines the name each adapter is given. I have no idea of the order in which names are assigned if the adapters are already plugged in at boot time. Use dmesg if you need to know that.
Since the device files are created and deleted as the adapters are connected and disconnected your only chance of sanely controlling their ownership and access permissions is to write udev rules to handle that. However, its not difficult to do.