Sectuer has long drop caliper brakes so max clearance is for 28mm tyres + fenders.
I have ridden in the snow with a commuter tyre like Marathon 28mm.
It all depends on the type of snow and the freeze-thaw cycles.
On fresh powdery snow, it works fine (with care).
On sticky, slushy snow, the mudguards will clog up.
Frozen ruts will redirect thinner tyres from your intended direction very easily.
Any ice under snow or on the road will be dangerous.

Clean and wax your frame and the underside of your fenders to discourage dirt from sticking.