Garland,
You make some good points, but I felt a main issue walking at BM vs CB is altitude.
Green to tee there's a couple of notable short hikes at BM like 4-5 or 6-7 and after the climb at 16, 16-17 or 17-18 but there are trails to make short cuts. The long-walk-considerable slope CB stress tests were more a pain to deal with vs BM's short hill long walks at BM..
I didn't remember circuitous routes from tee to fairway so I looked on google earth.. theres a couple of switchbacks off elevation and places where one doesn't want to go down and up through rough so you might follow the cart path, but I certainly wouldn't characterize the entire course that way.. most path lines are aligned with hole axis
Frankly, for a destination course, I'm glad BM has carts. It lets one walk 18 or a major part of it and get in another 18 without destroying the rest of the day's activities.. and perhaps more importantly allows all to play.
I found the slopes at BM varied throughout the routing, while at CB once you make it to 14th tee its pretty much downhill from there.. no gca advantage just something for the walker's legs to look forward to..
now i hope you're not going to give me crap about only carrying 8 clubs at CB, BT, PD, OM, & BM