Thats exactly right. All are universal in my experience.Most of the valve kits are universal. I've used this kit on every toilet I ever fixed.
Fluidmaster PerforMAX Universal 2 in. High Performance Complete Toilet Repair Kit 400ARHRKP10 - The Home Depot
The Fluidmaster 400ARHRKP10 All-In-One Toilet Repair Kit offers the most premium solution and upgrade to enhance your toilets performance. This toilet repair kit offers everything needed to make your toilet run like new. Kit includes the PerforMAX Toilet Fill Valve for 2X greater refill rate...www.homedepot.com