Martin will be along with more info but …
The BW along Skipton moor is railway style hardcore at the eastern end and rutted/boggy towards the Skipton end.
Barden Moor (Embsay moor): the main BW from Halton Heights/Black Park to Rylstone is fine, the bit where it leaves the main vehicle track is the most interesting but get the line right and avoid the big slots and you’ll be fine.
The stuff up on Boss Moor/Threshfield Moor is generally OK, one or two bits could be interesting depending on how wet things have been 😆 This bit was very muddy the other week.
Mastiles Lane and the stuff above Malham leading over to Settle will be fine – much of it was sorted out a few years ago after they banned motorised traffic.
Edit: I wouldn’t bother with the BW over Sharp Haw on a CX bike – there’s lots of hidden holes in amongst the boulders. Bad enough on an MTB.