Hey, woah, slow down there captain! We're gonna get someone killed if they're reading this on fastboi tires lol
For the average all-season car tires, totally yes.
For bike tires, honestly, what tires are we talking about?
A customer left his Ducati Diavel with me for a few days once and asked me to "take it for a good ride" for him. I can't remember what the tires were, but I think it was a set of Pirelli Diablo Rosso IIs. The temperatures were in the low to mid teens. I could NOT get those tires to warm up, stay warm, or do anything besides feel cold, stiff, and like this was going to be a very expensive ride.
The Metzeler ME880s on my bike on the other hand felt fine in the low-to-mid teens. I bet there are fastboi tire compounds out there that get a lot less grippy at even as warm as 12c.