Here's a list of Chromo2 SNPs I pulled from the YFull website for a few branches of R1b-L21:
S968, S951, S966, S964, S967, S957, S960, S3862, S954, S959, S956, S962, S953, S190, S3033, S425, S302, S422, S421, S303, S3068, S420, S781, S679, S676, S682, S660, S659, S658, S661, S6151, S588, S603, S668, S675
One could probably go through the site and identify many more.
The Geno 2.0 Next Generation test came out after the Chromo2 and I believe includes some SNPs also discovered from the first BigY results. It should have even more SNPs from within the past 2000 years, but I've never checked.
Neither BritainsDNA tests nor Geno 2.0 would be the first tests I would recommend for genealogy. That said, they are not void of any value. I don't think the presence of very recent SNPs on the Chromo2 or Geno 2.0 tests is what makes them useful for genealogy. They can't identify new branches like the NGS tests can, but they can help people rule out connections in much the same way mtDNA results can.