Sat on the fence for a day or so before responding to this. Not sure that I'm offering any perspective that is different from what has been posted, but I think the word "traditional" can be taken literally here. For a knife to be traditional, to me, that means it is produced according to a particular tradition. Less about the materials, and more about the spirit, the impetus behind the craft. At some point, I'm sure we'll be able to look back and assign a Walker liner lock, or a Reeve integral lock, to a particular tradition, too. Perhaps when we have pocket lasers to cut things. But right now, those knives are made with a different spirit - what I would call the spirit of advancing technology.
The knives I think of when I think "traditional" aren't particularly interested in advancing technology. A back spring or lock, some liners, handle slabs, and a blade on a pivot. Or, in the case of fixed blades, a blade designed for a specific style of cutting, with a handle to suit the work. Plenty of knives that are acceptable in this forum use G10; and some newer blade steels that really rock. Even some linerless shadow patterns show up.
The Lionsteel knife and the Benchmade Proper use washers, which to me, is what edges them into this grey area. The washers are an advancement of technology. Technically, so is the G10, but not really in the same way. The G10's technological advancement is more of an effect in my mind than it is a cause. It's still a handle slab, and might be a little more durable than micarta and definitely more than bone, but probably not delrin or certain stabilized hardwoods (in any practical measure). G10 handles just happen to be made of what we have currently on hand. (I don't intend to incite or participate in a "G10 is stronger than blahblah" debate here, either).
Introducing bronze washers to a pivot, though, is changing the mechanics and function, ostensibly to make the function of the tool "better, more advanced."
I have seen Canal Street and Queen knives that were the exact same in every regard to something that would be okay in this forum, except that they had pocket clips installed. I don't think that, 100 years ago, anyone made a knife with a cap lifter on it, either.
Something that strikes me, though, about "traditional" knives is the way they feel, and I think that has to do more with that they are handmade. They don't feel sterile. They don't feel like a "four easy payments of 29.95" new gadget that shows up on TV, like some modern folders do, I think because of how they are made.