I have used Triangles since I started playing, and really didn't see a need to change to anything else since.
I sort of equate it to solid wood vs. plywood. Plywood is more consistent, and (if made correctly) stronger as well. But a nice piece of solid wood cannot be beat.
All tips are made from natural fibers, so there will always be variance. I think the reason the layers tips are more consistent is due to the glue- that component is easily kept consistent, and the layers are quite thin of actual leather. Quite possibly, the leather component of the tip is impregnated with glue. I mean, you want the glue to penetrate to allow good adhesion between layers, and the layers are so thin... Follow?
Also, keep in mind that tanning procedures have changed. 'Chrome' tanning was done on the old triangles (and helped give them their blue color too). These days, the chrome tanning process is not allowed in the US because of EPA restrictions. I have a custom Schott horse hide jacket that is chrome tanned front quarter horse hide; however that hide is sourced from Italy, where they can still do that process. This jacket will quite possibly stop a bullet (but I'm not trying it!). I have another custom Wested horse hide jacket (made in the UK) that is another tanning process (probably vegetable) and this leather is less durable.
If you happen across some OLD triangle tips, these are the gems. The new ones are fine, and with a pressing, quite reliable IMO.
PS I break and play with the same stick these days, so I show no 'mercy' to my tips. Ivory ferrules and no pad on my cues.