We're out of state and planning around our kids' school and sports schedules, so ticket prices are never a factor in our choice of dates. The addition of ILL/Genie+, an ancillary ticket consideration, HAS had an effect on our choices of dates, however. We refuse to pay more on top of the ticket prices for those things on principle, so that means we'll only consider visiting during, say, mid-late August, the only time of year when the kids are out of school and crowds are lower than average, and ILL/Genie+ aren't necessary to avoid long lines. Unless or until Genie+/ILL are changed or removed, school break visits (e.g., February break, Easter break) will no longer even be on the table. As a bonus, because August is hurricane season and the weather is not especially pleasant, hotels tend to be cheaper at that time, as well. We don't mind a bit of heat or rain -- or at least, we find the dip in crowd levels to be good compensation -- so it works for us.
The ticket price increases have also led us to shorten our ticket duration by a day, in order to stay within budget, but again, visiting during a lower-crowd time of year helps with that as well, as we can simply get more done in a shorter amount of time.
(*Full disclosure: We are in the midst of planning a trip for the third week in August 2023, to use up the nearly $4K in discounted Disney GC and rewards dollars we were refunded, when we downgraded our August 2021 WDW trip, and to make use of the 2-day complimentary parkhoppers we were issued to compensate for a bungled Boo Bash.)