Well, let's look at how other bands do it.
Tom Petty: Break Down. Lots of spaces on the studio recording. Live? Stan plays the ride cymbal through all the breaks.
Joan Jett and the Black Hearts: Crimson and Clover. The drummer is clicking sticks at the intro, in the breaks, and even in the video, and this is the studio version!
Who can forget The J Geil Band hit Centerfold, at near the end the band ends the song, but then the singer counts the band back in, 1,2,3,4 with the drummer also clicking the band back: again, it's even in the video!
Mike Portnoy did a different way, it's hard to see, but he has an electronic drum pad on his left that he uses to count the band in on between sections. The sound from the pad only go to the other band members in-ear monitors, so the audience doesn't hear it, but it's there
Van Halen: Hot for Teacher. How did Alex handle the numerous stops? Well, it depends on which video. He keeps his stick playing the hi-hats through all the breaks. Other versions are different
Josh Freese with Sting does the same thing, just keeps bashing on the hi hat through the pauses
https://www.youtube.com/watch?v=9LBhKiZEAiE&list=TLPQMTcwNzIwMjEUGNgaAQhhGA&index=2
For fun sake, I looked up how Vinnie played the same song, and he pretty much plays fills through the breaks, lol, he doesn't even pause.
https://www.youtube.com/watch?v=1Tz5ldpi40U
Back to clicking sticks: Ansley Dunbar with Journey:
https://youtu.be/mqHmFoHEv8U?list=TLPQMTcwNzIwMjEUGNgaAQhhGA&t=151
I'm sure there's more out there.....