Photos of 'Single Cherry' seem to be the same as R. pimpinellifolia 'Rubra'. Compare Celestialrose December 5, 2009 photo No. 137267 of 'Single Cherry' with Jedmar's May 7, 2011 photo No. 181471 of 'R. pimpinellifolia 'Rubra' in Switzerland.
I've been growing the two of them next to each other for two or three years (R. pimpinellifolia 'Rubra' is older) and so far I have noticed no difference at all. Nor in blooms neither in prickles or leaves or growth habit. I don't know if the two roses are the same but at least the two clones that i have are identical.