The 6 speed is there for a reason, the bike has a much shorter power band than the 350 did, they stop making much power past 8500 where as 350s do at least another 1000 rpm. The gear ratios are shorter thus allowing you to keep in that power band area. Same reason diesel trucks have lots of gears. I believe final drive ratios are pretty much the same once you have both bikes in high gear.
Most people don't like 360s for the same reason that the 450s died in 74 and were replaced by the 500T which died 2 years later, they are starter bikes, Honda had perfected pretty much perfected the 4 cylinder engines by that time. Bigger and better things were available and if you had been riding a while, why buy a small rattly, weak-ass bike when for a few more dollars you could have a bike that needed less maintenance, could run all day and not make your ass go numb, and had double the power. No brainer really.
I like the older inline twins, they have a lot more character and soul, plus I'm a tinkerer and they need some to stay running well. They also suit my skinny ass just fine, its all I can do to get 1100ccs up off a kickstand and keep it there, with these its just like riding a dirt-bike, they go anywhere and they have fun doing it. I own a 360 and a 450 both are fun in their own right. I have a CB550 and the difference in how it goes compared to the other two is night and day, plus its smooooooottthhhheeerrrr.