Speaking as someone who finds DP problems easy, I'd not figure it out from this approach. The way that I'd think about and tackle it in an interview is this:

1. Write a recursive solution.

2. Memoize.

If you can solve it this way, then you have a DP problem. Of course this forces you into the top down (aka recursive) approach. But in an interview, "easier to reason about" is all that matters.

Also the tradeoffs in section 5 has a mistake. Memory can and frequently does go either way. Top down can let you recognize which states you never need to think through. But a bottom up (aka iterative) approach can let you discard memory after finishing an iteration. The memory savings from that can be considerable.