Pool game scores generally determine elimination game seeding, so there is at least some strategy to consider from the very beginning in a tournament. If you "throw away" a pool game just to appease players, you're hurting the whole team. By doing so, the team could initially get seeded against a tougher elimination opponent, resulting in an early exit.
To me, it's all about what's best for the whole team. For parents, if you're concerned about playing time in tournament ball - this ain't Kansas! Playing time is EARNED, and if it isn't happening, take off the rose-colored glasses, because there's a reason. To a great extent, I admire and respect a travel coach who manages player rotation similar to a college team, where decisions are made based solely on which players will give the TEAM the best chance to win the game at hand. The next game may bring a different rotation, but it isn't because Suzy isn't getting enough pitching time.
I apologize for being so blunt, but I have always viewed REAL travel ball as a college prep softball program. If you're in it, you must have college intent. If you have college intent, it's time to learn to play by the same rules that the big girls play by - and grow some thicker skin.
Regardless of my opinion, coaches must decide based on team composition. There's no denying that team politics exist, and that must be considered. There is no cookie-cutter approach. Each game presents different challenges - are you facing a power hitting team, or a "run you to death" bunting team? Is it hot, cold, raining? Is you third base stud coming down with "female flu"? A ton of considerations, and like snowflakes, no two are exactly alike. Whatever a coach decides, parents MUST support that decision and roll with it. That is what TEAM is about.