Its mostly the same, but they don't use the same names, just most of the same rules. If RP reference sneak attack or Sniper Shot refered to any precision based damage, this would be simple. As is, your 100' shot is a sneak attack (assuming other conditions) but not a RP strike, by the RAW. RP is like a sneak attack, but it doesn't say it IS a sneak attack, hence the difference.Hypersmurf said:"Unlike with a rogue's sneak attack, the initiate's target does not have to be flat-footed or denied its Dexterity bonus, but if it is, the initiate's extra precision damage stacks with sneak attack damage. Treat the initiate's ranged precision attack as a sneak attack in all other ways."
So, apart from the need to check if the target is denied Dex, it is treated like a sneak attack.
With Sniper Shot, your next ranged attack can be a sneak attack regardless of distance.
Your Ranged Precision is treated like a sneak attack; if you can sneak attack at 100 feet, and you're treating the RP attack as a sneak attack, can't you RP attack at 100 feet?
-Hyp.
Really, I would allow it, RAW be damned. Still, it isn't technically legal.