A municipal budget usually gets held up by the same few things: infrastructure costs coming in over estimate, a disagreement over which services get funded first, or provincial funding arriving later than the city's own budget calendar assumes. None of that changes your assessment itself, only when and how the mill rate gets applied to it.
If you think your assessment is wrong regardless of the budget timeline, the appeal path is separate: the City of Saskatoon handles the assessment, and a formal appeal goes to the Board of Revision, with its own deadline each year that does not move with the budget schedule.
Joel Dyck can walk you through what your specific assessment means for a sale, separate from what it means for your annual tax bill. Get your hand-reviewed valuation from Joel Dyck.