Had the same thing here in Ioway. Looks a little like South Dakota around here. Not as bad as a few years back, 2012 I think it was.

Not sure on your question but as you know Fall is really the best time for fertilization and overseeding. A couple weeks ago I started watering the newly seeded areas. Well it didn't take long to realize the rest of the lawn would like a drink right? It greened up nice. The only thing is once I started irrigating, I couldn't really stop.

Dormant lawns can't be turned on and off like a switch. But I wanted to get a headstart on the cooler temps and get the lawn to fill out, and when the rains return (we had over 1/2" overnight and more today forecast) the turf will respond much faster. The cooler fall temperatures are on the way, finally. In other words, I say "YES!". Be sure to put down at least 1" of water, slowly. If it rains of course you can skip it. Since fertilization is so important in the fall, some irrigation or rain is necessary.

This is the first fall I've seen where lawns are still dormant with October now here. We've had a hot two weeks and hardly any rain! That said, I fertilized 3 weeks ago, so committed myself to watering. Lawn is a nice green except in areas that my sprinkler system doesn't cover. I suspect when the heat starts to break tomorrow, lawns will come out of dormancy over the next week or two and everything will be fine provided you start fertilizing then.