  Comet C/2016 R2 PanSTARRS (hereafter C/2016 R2) presents an unusually high
N2/CO abundance ratio, as well as a heavy depletion in H2O, making it the only
known comet of its kind. Understanding its dynamical history is therefore of
essential importance as it would allow us to gain a clearer understanding of
the evolution of planetesimal formation in our Solar System. Two studies have
independently estimated the possible origin of this comet from building blocks
formed in a peculiar region of the protoplanetary disk, near the ice line of CO
and N2. We intend to investigate the fates of objects formed from the building
blocks in these regions. We hope to find a possible explanation for the lack of
C/2016 R2-like comets in our Solar System. Using a numerical simulation of the
early stages of Solar System formation, we track the dynamics of these objects
in the Jumping Neptune scenario based on five different initial conditions for
the protosolar disk. We integrate the positions of 250 000 planetesimals over
time in order to analyze the evolution of their orbits and create a statistical
profile of their expected permanent orbit. Results. We find that objects formed
in the region of the CO- and N2- ice lines are highly likely to be sent towards
the Oort Cloud or possibly ejected from the Solar System altogether on a
relatively short timescale. In all our simulations, over 90% of clones formed
in this region evolved into a hyperbolic trajectory, and between 1% and 10%
were potentially captured by the Oort Cloud. The handful of comets that
remained were either on long-period, highly eccentric orbits like C/2016 R2, or
absorbed into the Edgeworth-Kuiper belt. Comets formed <15 au were
predominantly ejected early in the formation timeline. As this is the formation
zone likely to produce comets of this composition, this process could explain
the lack of similar comets observed in the Solar System
