Honda has this too. Biggest pain in the ass. Oil change every 5k and rotate every 10k. You have a 1k mile leeway. No matter how much service you may have done, if you miss one rotate then that warranty is void.
What Honda warranty are you referring to? Honda doesn't have any warranty with limitations like you are describing, nor does Honda themselves offer a lifetime powertrain warranty. That sounds like a 3rd party warranty. Honda doesn't even recommend oil changes every 5k, its recommended when the maintenance minder gets to 15% oil life.