I had the impression Schwalbe Ones are supposed to be slightly more sensible rather than all-out lightweight anyway?
Schwalbe's current "fast", "light" tyre is the Schwalbe One. Next years (2016 model, available some places now) is tubeless only. So they get around the problem of it being not the strongest tyre by making the default way to fit it as part of a system that includes sealant
2015 Schwalbe One clichers are pretty feeble, thinner than the Ultremo ZX
Although Schwalbe's Marketing Facts would have you believe that they are more puncture proof resistant.
There's puncture resistance on the main tread
There's resistance to damage to sidewalls
There's general durability
All of these are used by people to gauge "puncture resistance"
On my very small sample of Schwalbe One and Schwalbe Ultremo:
in 300 miles of Schwalbe One I got a massive sidewall puncture. Actually in the first 100 miles, I binned the tyre when I got home
in 1700 miles of Schwalbe Ultremo (including PBP) I got a lot of highly visible damage to the sidewalls but no punctures. First set of Ultremos were binned after 1500 miles due to this damage, I just didn't like the look of it.
Feeling them both the One is lighter/more supple/thinner than the Ultremo but not by much
Best bike currently has a Ultremo on the front and a One on the back
So puncture resistance on the centre tread is probably ok for both tyres
Sidewalls are weak on both
Durability is 1500 miles on the Ultremos, don't know on the Ones