Haha no I let them stay where they are until the next track event/session. The boogers almost all get stuck on there in the cool down lap when you're going slower and possibly off line.
On a related note, it is pointless to get a tire shop to balance used race slicks. I had some pirelli WC slicks shipped to me for cheap used, and they had lots of boogers. Normally I don't get race tires balanced, but this shop tried and ended up using like 20 little weights to try to compensate for the boogers. First session on track the boogers melted off and I was left with a wheel with a ton of weights that caused it to have tons of vibration.