Ok so I did some walk times with dustbowl benchmark, walking from spawn locations to each point as a soldier, for both teams, shortest possible distances. Here are the interesting results:
*Dustbowl, stage 1, cap A = 12 seconds for blu, 20 seconds for red
*Copperhead, stage 1, cap A = 14 seconds for blu, 26 seconds for red
*Dustbowl, stage 1, cap B = 24 seconds for blu, 10 seconds for red
*Copperhead, stage 1, cap B = 30 seconds for blu, 8 seconds for red
*Dustbowl, stage 2, cap A = 15 seconds for blu, 24 seconds for red
*Copperhead, stage 2, cap A = 15 seconds for blu, 22 seconds for red
*Dustbowl, stage 2, cap B = 27 seconds for blu, 6 seconds for red
*Copperhead, stage 2, cap B = 30 seconds for blu, 7 seconds for red
From this I think you're right on the money, and more so, because I think it's good that your stage 1, cap B is better than dustbowl's because it is 6 seconds longer--meaning there's less steam-rolly-ness associated, something I always was never a fan of in Dustbowl, stage 1, cap B.