I have always been intrigued by carbon blades since carbon steel is a great metal for knives and straight razors. I started buying carbon DE blades just to try them.I haven't heard of a White Carbon, but I agree the Falcon is capable.
Experiences really vary on the carbon steel blades. The people that hate them really hate them. Treet dominates the Pakistani market, and the men there tend to have thick, heavy facial hair, so I think Treet does a great job in general.
I think I bought the Treet White Carbon from Italian Barber, I also bought bought some yellow Dura Sharp which I have not tried yet. The Treet Falcon I got on Amazon and are a great deal at $6.99/100. The other Treet carbon blades I have I bought from Razor Blades Club.
Overall I am a fan of carbon Treet Blades since they tend to work well for me. Like you mentioned in a previous post about the stainless Treet Platinum, it works really well for me too.