...could be an indication that I have others reading the manuscript at this time, so might be more incentive for him to want to represent it.
Ah, you're wondering how to "play the game". Well, my advice won't be particularly useful if you prefer learning and exploiting the politics of publisher/author interaction.
Let's simplify this. The girl told you you could text her later, and it's definitely later, but you're still worried what message you'll be sending if you do text her.
Do what you want!
If it were me, I'd look at this as any other relationship I'm trying to build. If I like the company, and I've submitted a proposal, and they said "give us a few weeks" then I'd give them exactly that, then follow up:
"I submitted a proposal on November 18th, 'war and peace' about a puppy and a kitten and their complicated relationship. I believe this is a great opportunity for both of us, as this appears to fit your catalogue well, and I've heard nothing but good things from others who have worked with you before.
At the time you indicated you needed some time to review the proposal further, and I'd like to know what the status of the review process is.
I appreciate your time and effort on this, and look forward to working with you!"
But then I'm not interested in office politics. If they are cagey or want to jerk me around, I've got better things to do than dangle.
The publishing world may require a different touch, but business relationships are surprisingly similar to romantic relationships, and in particular you will generally find that over communication is better than the alternative.
But mostly, do what you want.
If that doesn't work, THERAPY.