  We consider the system of sticky-reflected Brownian particles on the real
line proposed in [arXiv:1711.03011]. The model is a modification of the
Howitt-Warren flow but now the diffusion rate of particles is inversely
proportional to the mass which they transfer. It is known that the system
consists of a finite number of distinct particles for almost all times. In this
paper, we show that the system also admits an infinite number of distinct
particles on a dense subset of the time interval if and only if the function
responsible for the splitting of particles takes an infinite number of values.
