When playing, I've noticed following the numerical order is designed to be confusing and annoying, forcing you to backtrack multiple times and scan each room just to proceed to the next numbered monument. My best assumption to why is to give you the feeling like whoever designed it didn't care much for your ease of access, kinda like the benches don't for people who need them for more than sitting.
Sadly, out of the three people I've showed this to so far, none of them followed the numerical order for long, so only I picked up on that detail. Two ignored it entirely, and one ditched it after monument 7.
I really like that little part of the experience, but I'm sad that possibly very few people will actually walk through it that way.