Is February a bad time to visit London?

The title pretty much says it all, but for further context: I'm planning a trip to London and the Cotswolds for 2027. I've traveled to Europe during winter months before (Rome in January, Paris in February) and have still found those cities to be a wonderful time! I think the drearier weather can be perfectly charming!

I'm more concerned that I'm limiting my options of things to do if I go between January and March. What do we think: should I push the trip out to the spring?