Both are really amazing products but is one really better than the other? Tricky question; it all depends on the process is the answer.
Backyard BHO can be left with wax, mystery oils, and butane left in; no one wants that.
CO2 extractions are always full of wax.
High quality BHO has no wax in it, nor does it have mystery oil, or butane. This takes skill and a ton of very expensive tools.
How to tell if your extract has wax in it. All you have to do is ask yourself one question: Can i look through it like glass or is it opaque. If the extract is see through, you have a clean concentrate. If your product can not been seen through you have an inferior extract. Call it what you will, shatter, eerl, budder, honeycomb, crumble: if you can't see through it cleanly, you have a product that has wax in it, potentially a lot of wax. All non-shatter products have other issues as well but that is not what this is about.
Why is wax a big deal? Because when you vaporize or smoke your extract the wax will cover the alveoli in your lungs which clearly takes it out of the good for you "medicinal" zone. Also, if you coat the alveoli, you will not get all the goodness from the extract. A side effect from wax is that your lung capacity drops which will have a serious detriment to your work outs if you are an athlete. I am not a doctor but i know smoking "wax" is a bad idea.
Now, I really like the idea of the CO2 extractions because if the lack of solvents but, till someone figures out how to get rid of the wax i have to believe it is an inferior extract when compared to a lab processed Butane extract that has been properly filtered and purged.
Anyone have thoughts?