About 10 minutes to warm up is about right, for the ES-1 as well as Aristaeus.
The ES-1 can be used right after power on, about 30 seconds, but I usually give it about 5 minutes before listening. It does seem to sound better after 30 minutes.
I did have problems dealing with SP and waited a long time after payment before receiving the ES-1. I'm still waiting for another amp, and I'm aware of potential design and build quality issues others have reported. But I think the ES-1 is the best-sounding amp I've heard, better than the Aristaeus, and much superior than my former KGSS or the few Stax amps I've heard. I do worry about it breaking down, which is probably likely if there are design issues, but I'll somehow deal with it when it happens, maybe sending it for a Spritzerfication.

I haven't used my Zana Deux and dynamic headphones for a few months, due to lack of interest. I know, that's a horrible thing to say, but I can't help it.
Also check your tubes. I've had experiences where a power tube couldn't bias right, or was unstable. Good tubes are easy to set bias and very steady. Some of the rare and expensive tubes do sound particularly good, and I can understand why they are expensive.