Not really, at least for me. The optimum temperature for summer tyres is usually 7 degrees.
That (7 dgrees or over) is the case for the overwhelming majority of days here (Kent), and these days we're having frost, snow and minus temperatures: cross climate tyres would be weak these days (only winter tyres would do well), and having a set of winter tyres in the off chance we'd have frost for a few days a year isn't worth the money.
Otehr parts of the country and/or more inland probably, but not here in the south.