In the UK there is an upsurge in 'cross climate' tyres. Good in fair wether and foul.

I have not tried them at all but many people report they work well.

I suspect they are neither fish nor foul or jack of all trades and master of none but the UK does not get the extremes seen elsewhere in the world but conditions can quickly change, good to bad and bad to good so it avoids constant tyre changes.