XDJ-1000mk2 + DJM-250mk2 hardware unlock

I have a setup of 2 turntables and a DJM-250mk2 mixer. The latest is a hardware unlock device for rekordbox performance mode and DVS. This is great because I'm mainly utilizing it as an 'old skool' setup for playing original and digitized vinyls.

To enable the usage of the setup by people from the post-vinyl-era, I consider adding 2 xdj-1000mk2 players. I learned that the xdj-1000mk2 supports rekordbox performance mode with an appropriate license plan.

So, this raises the question:
Is the djm-250mk2's hardware unlock sufficient to also unlock the possibility to use the xdj-1000mk2s as controllers for rekordbox performance mode?