Does it have to just be a two-week time span? Perhaps some of those lines would make more sense if they have been there longer, like three to six months at least. Or maybe even TWO MONTHS LATER.
The thing this has to balance against is that Anakin’s been actively pursuing Grievous throughout this time, without Ahsoka. I think a couple of weeks is enough to get the Rookies established on a listening post, whilst for Anakin and Obi-Wan this pursuit is only just at the extreme end of going on too long as a strategic priority. That’s where I’m at mentally for now, anyway.