Toe presses on a leg press machine are similar to donkey raises. In my 20s I did donkey raises like Arnold, with a training partner on the back. So gay. It did burn my calves though. I haven't trained calves in more than a year, but when I start again I'll stick to the leg press and standing calf machine.
Toe presses on the leg press are sort of a lazy option to me. Hopefully someone left a stack of plates on it so you don't even have to load it up, then you sneak off, "I didn't load it up, why should I unrack the plates?"

I think I'll just go to a bare minimum, which might be the best option LOL, of just doing 2 hard sets for calves, that's it. I like the seated calf machine for just as a therapeutic stretching device, just sitting there stretching for a while

2nd exercise here, before starting with your routine
https://www.instagram.com/p/DOOWcNbDaK6/