On the other hand, my 1B .22 Hornet will keep plunking them in there long after it gets so hot that you can't put your hand on the barrel. And its bedding has never been touched since it came out of the factory.
In general I have found that No. 1's (or any single shot with a 2-piece stock) will maintain point of impact even with a warm barrel if the forend is bedded so it doesn't make firm contact with the front of the action. If a No. 1 does this, I work on the rear of the forend until a piece of paper can be slipped between the rear edges of the forend and the front of the action. Many people get so fixated on the front end of the forend (whether free-floated or firmly bedded in some way) that they forget the rear end is also a factor.
