Designated lubricants are typically paired with a designated cleaner, which is very aggressive. If you aren't careful, the cleaner could nullify the designated lubricant that you apply afterwards. Though if you are not a high volume shooter, this is of no consequence to you or your firearm. That said, don't be confused about which one works better. Yes the designated lube can have more lubricating properties, but that does not help in a hostile environment when it is being attacked by foreign fouling. This attack is the real test on how the lubricating properties perform, in my opinion.
I am sure you can tell that I am a fan of CLPs by now. This is because I have been a high volume shooter for a very long time. I have tried almost every big name product, and have yet to find a lube that works better and sticks around longer than a CLP. That said, it is up to you to decide which one you prefer. As I said, CLP is good for high volume shooting, while designated lubes are good for people who don't shoot much. Your choice.