The only spirit I can compare HC Barrel Proof's method of aging to is a Canadian whisky from Corbys. The Wiser's Red Letter, which spent 150 days in New Oak after its original aging in old oak.
With this whisky the new oak gave a very distinct enrichment to the blend. I taste a very similar enrichment in the HC Barrel proof which claims to have a similar style of aging in younger oak after original aging in older oak.
I do agree with you Ed that the time spent in the new oak seems to have had less than of an impact for the HC Barrel Proof than I noted for the Red Letter Canadian Whisky that I tasted. However, the difference I believe can be attributed to a couple of factors.
First is the the HC does not claim to use virgin oak in its refinishing, just 'younger' oak which could mean almost anything. Second I believe the HC is chill filtered, (although I am not positive about this).
But all that babble is not really important, what is important is that to me this rum tastes fabulous, and I scored it accordingly.
Just as a side note, I was recently sent a lab sample of Corby's newest whisky, Wiser's Legacy, which has an even more pronounced new oak finish. This appears to be a new style of finishing spirits which is catching on.