Actually, the "professional" weightlifters DO say that they take time off after a main event. They run in cycles (this also coincides with the steriod cycles many use) and after building up and then competing, they take a week or two off. Also after something like the Olympics, they may take 3-4 weeks off. Now, in taking 3-4 weeks off, it may actually look like this: 1 week rest, 2nd week running/hiking/other light work, 3rd week - light weight training, maybe doing odd lifts for fun. 4th week - a little bit heavier, but still very easy exercise. 5th week - start new program.
So, a good program MAY be 4 weeks rest from throwing while doing other things. 3-4 weeks of throwing a football easy. Maybe another 3-4 weeks of throwing a football. A week rest from throwing and then start throwing a baseball. These are all variables and the players condition and history should be taken into account, as well as how they respond. Hopefully as they get older, they become more and more in tune with their bodies and how they respond to exercise and how much rest they need.
When they were young, many kids played games in the spring, took the summer off (at least 4-6 weeks for most) and then played another 10-12 games in the fall and then didn't see a baseball until the next spring. I have seen some hard throwers from this.
Then, when they get older we start to put the "workplace mentality" on them and the "more is better" philosophy comes into play. Some get this started at 12 or younger with travel teams playing over 100 games a year. Some of these players don't make it to varsity (arms shot or lack of growth) or go on to other sports that are more "fun".
OK, I'm rambling, but yes time off can be good for a thrower. Maybe some can throw 365 and be good (and maybe even better from this) while others need the time off to heal up. Everyone's different - that's why not everyone throws 100 or even 90 or hits 50-60 HR's a year (anyone think that someone in the Angel's organization said "I knew we should have kept Ekstein"?).
Have fun,
Tim Robertson