I too am a big fan of Black-n-Red notebooks, and was similarly tempted by the Cambridge notebooks. Unlike you, I succumbed to the temptation!
I purchased two; a flip-top perforated wirebound notebook of (roughly) 6x8" white paper, and a wirebound, perforated 8-1/2x11 pad with slightly cream-colored paper.
The flip-top pad is made from a bright white paper, thinner than the B&R, but with a noticeable amount of tooth (scratchiness.) It bleeds through quite easy, and is thin enough that you can easily see what's written on the other side, even if it doesn't bleed through. It does feather just a tad with Noodlers Gulfstream, but not with Legal Lapis. My worst pen, a cheap Hero with an EF nib, is marginally acceptable on B&R and darn near unusable on the white Cambridge.
The latter (cream) paper seems to be thicker and softer than B&R. The surface is fairly smooth, but has more friction than the B&R. Despite being thicker, it doesn't resist bleed-through all that well, but better than the white variety. It doesn't show through, however, and is pretty resistant to feathering.
Personally, if I find the store out of Black-n-Red I'll wait until they restock. I make sure that I always have one in back-stock for just such an event.

If you'd like samples, I too would be happy to send some to you.