Back when 1, 2, and 3 bears was a more common thing, what would determine the level of 'bears' would be a combination of blade steel, config and handle materials.
Some examples:
1 Bear:
- Hati, G10, Elmax w/ full flat grind and no jimping
- Hati, CF, S30V with full flat grind and jimping
2 Bear:
- Hati, CF, S30V w/ extract cut + jimping
- Hati, CF, S90V w/ full flat grind
3 Bears:
- Hati, CF, M390 w/ extract cut + jimping
Just some info for your hunt, the NeOn in the second link you posted is for the original run of NeOns, before custom division was a thing. There's 30 of them out there and they pop up once in a while. It's the purest configuration of the neon with just full ti handles and an S90V multi-faceted blade nothing too crazy going on. There have since been actual CD NeOns which have had the same blade but with zirconium hardware (this is before the Mk.2 NeOn with damasteel) and another one with the same full flat grind as on the production NeOn but with blue hardware and a very unique backspacer. CPP posted the newest NeOn NL which is actually a current CD production run and is your best bet as the newer CDs are done in runs of 50. Could be worth looking out for those as I see them posted for sale in some of the Shirogorov groups most often.