Yep. Nailed it. I think she's harboring resentment too.
Honestly, I keep going back to when they sponsored that capybara exhibit (before she got pregnant). She was in there with Tim and the two owners and the capybaras weren't paying her any attention. And she goes, "But I sponsored your exhibit, don't you love me the most?"
I feel it's the same way when she goes, "Buddddeeeeeee..." to Jackson. I feel like she's going to say, "don't you love me the most?" to him one day in the same respect.
(Edited to add: Re: I and me... back then, I also thought it was strange that she said but
I sponsored...don't you love
ME the most, as if Tim didn't co-sponsor with her as "The Tim Tracker")