That team scheduled minimum 3 and up to 5 games a week. When my son was 10 he played both LL and that Travel team. Problem did occur during LL All-stars. Travel team ended up winning State and western regionals and went to AABC National World Series, so LL All-stars were dropped after first week. The next year LL was dropped.
Travel teams are great for the top line player.
Each team tries to field the best players possible. And Prima Donnas are formed. Again, those policies are determined by the teams manager. Each team is its own entity and makes up its own rules. If you can find a club or manager, who has a similar philosophy as you and your son, you will be in a great situation.