The agricultural extension at University of Florida recommends (once the grass is dormant) that you not change the amount of water to apply, just the frequency. i.e just water once per week vs. two or three.
They also only recommend (year round) that the grass is watered on an as needed basis, not the twice per week as recommended by the villages.
What I’ve ended up doing is twice a week I check soil moisture in each zone. If it feels wet, I don’t water. If it’s dry, I run irrigation. Last winter I watered maybe once a month, if that. My side yards, are always moist (probably from neighbors irrigation and mostly shaded) but my front and back yard need the water (full sun). So, Ive not watered my side yards for 3 weeks now, but watered my front and back in that same time period.
Remember, what happens in your yard with rain/moisture can be totally different from what’s going on across the street.
Also, yellowing of lawn (or even browning) can be any one of a few issues besides moisture (too much or too little). Might be mineral deficiency, insects or a good cold snap. Hard to say.
ENH5/LH010: St. Augustinegrass for Florida Lawns