The axis lock is great and worthy of its own legend, but the lack of an axis lock shouldn't end interest in the other knives. I've tested my Gravitator liner lock and it worked fine (albeit mild testing--nothing hardcore...just a couple simple spinewhacks).
If you don't look at non-axis lock benchmades, you'll be missing out on some of their best knives. For those who don't have an axis lock yet, I'd say definitely get an axis first--it's great, it's very cool, fun, but you do get over the cool factor after awhile, and then you can start looking at conventional locks too.
I'm sure the Lum's liner lock will be fine, but if not, you'll certainly hear about it from myself. I've had liner locks from a lot of the big companies, all of them have worked great, but I've been most impressed with my recent Gravitator, which I've been bringing up constantly lately. The lockbar is massive, the lockup is perfect, everything's smooth and safe. Flawless execution in this one particular knife. That said, I recall being a bit disappointed in the Apparition's liner lock, just from glancing at it, but I've been meaning to take a second look and make sure I'm correct on it.