Today I tried to start a NG+ loop in Bloodstained and clear it as fast as I can. I can't tell how much the in-game timer increased because if you never save, it's not recorded, but I certainly took less than an hour overall, with a lot of folly in terms of on the fly routing, and using shortcut builds I made for fun, but not for speed/efficiency.
Near the end, I realized that if I had set up a build with loads of Int and the Welcome Company shard, I could have killed far more of the enemies you encounter without stopping to do anything about them compared to just relying on Accelerate's shockwave.
So hop > Welcome Company every room would do you a ton of speed favors.
Theoretical "traveling in style" build:
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