Having priced CF sheets I have to strongly suspect that it's not actually CF they're using on a lot of the cheap frames. If it is then it's got to be considerably lower quality - thinner, possibly inclusions, poor surface finish, or as I hinted earlier G10 with a thin piece of carbon cloth for looks, heavier, easier to break.
Quality on CF can vary WILDLY. I had a landlord and roommate who were in "airframes" at the local marine base. The taught me more about CF fabrication than I ever though I would want to know. There are a lot of ways to make CF that looks nice and is cheaper...but doesn't have nearly the strength of well engineered and fabricated CF - even just sheets. There's a LOT of very inferior CF coming out of China. Lower quality resin (weaker, heavier, poorer quality finish), seconds quality cloth (looser weave, breaks in the fibers), poor fabrication process (no or weak vacuum, poor temperature control) that can result in poor bonding between layers and voids...there are lots of ways to make CF cheap but none that will maintain all of it's benefits. Don't forget CF sheets are more than what you see on the outer surfaces - use a layer of nice cloth on the outside so it looks good...but then fill the center layers with scraps of second quality cloth where no one will see it. Looks like good CF...but a lot weaker.
A CF mini quad even one fully loaded for FPV and flying fast into concrete shouldn't be sending pieces everywhere. I've had similar crashes with the warp and it barely made a scratch on the arms. I strongly suspect that the same crash on the blackout would have resulted in a few broken props, maybe your FPV gear knocked loose. If you did manage to break something replacement parts are available. With the knockoff frames you're either going to have to try and repair the parts (extra weight, loss of rigidity) or buy a whole new frame...which may or may not match your original even if it came from the same seller.
Cheap CF is cheap for a reason. Just like cheaper motors are cheaper for a reason. A cheap CF frame may look fancy...but if it doesn't hold up in a crash then it's only CF for looks and not well designed/engineered. I'd rather have a cheap and easy to repair wood frame than a cheap CF frame that doesn't hold up to hard crashes.
Every week with the warp I feel like I'm improving my piloting skills as much as I do in a month with my quad. Why? Confidence. I'm confident that if I do crash the warp it's not going to require major repairs - my quad I end up repairing almost every time I push my limits. Less time repairing = more time flying = quicker skill building. But I'm also more confident that the quad is going to be predictable and reliable, higher quality motors and the fully integrated PDB/FC with all soldered connections there's nothing to come loose and no sudden surprises.
I still love my quad and still fly it even if I still have props and packs for the warp. And since I built it I know I can repair anything that happens to it and know that it was built to a level I approve of. But it's still not as confidence inspiring as the warp.
I still have a stack of 24g motors and 10a multistar ESC's....I could pick up a $30 ebay special CF frame, toss them on and have something that flys for <$50. But I'd rather save that money to put towards a quality frame and fully thought out quad than just toss another together to have "something" I can toss in the air.
I've been around CF since the mid 90's. Seen and used it in rockets, seen and used it on motorcycles, seen and used it on off road vehicles...When I lived with the airframes guys I had 5 yards of military issue cloth and 2 pints of resin in my hall closet. We did some tests trying to make sheets ourselves using improvised methods and made plenty that looked great - but were weaker and heavier than other options like fiberglass wood and aluminum.
I'd say 90% of the CF I've run across is only for looks and has zero performance and strength properties over other options. Making something cheap and poorly performing but impressive looking out of CF is easy. Making something that actually uses the material correctly and benefits from being made from it - does not come cheap.
I'm all for cheap frames. But comparing them to a quality name brand frame...there's a lot of differences that aren't obvious but can make a big difference.