The Logitech is Bluetooth, yes. The $15 Nyko is not - it's USB based.

URC *does* have the Logitech adapter in their database (under Aux - Logitech), however I cannot say for certain whether that codeset is included in the MX-450. Take a look and see if you can find it. If it isn't there, then you would need another remote to learn the codes from, as the adapter itself is does not send IR.

Otherwise, if you can find one of the other Bluetooth-based PS3 remote solutions, those use standard Sony DVD player codes, which are definitely in the MX-450. :-)