I've seen the WOTS can change several times after the 1pm (CST) cycle on the 3rd day of recruiting. I've also seen it change at that cycle on day 2 of recruiting, but not quite as often. I'm not sure if it's the result of sims putting in more effort or early considering credit kicking in.
In fact, my last recruiting go around in Allen I had 3 WOTS change for players I was pursuing (I wasn't in battles for any of them), and all 3 changed at the 1pm cycle on signing day. No additional effort was put in by me for at least 18 hours prior to the WOTS changing, but in all 3 cases it went from "definitely leaning towards" to "very high priority" or "tight." Maybe there's no difference between those 3 messages, but I always took the latter 2 to be stronger than the first.