Well, that might be nice, but I wouldn't expect to see it happen. The company formed to collect this data, Q, is a B2B play that will want both Companies A and B to pay for each individual assessment. Persons P and Q will not want to pay for the reverse service, and even if they were so inclined, Q's client base won't really be large enough to make it worthwhile.
In other words, hand-wavy big data aside, this is yet another HR tool.