Why not? You can’t just pollute a game with every single idea that crosses your mind, that’s how you get FATAL. At some point in design, you have to identify and cut the fat.
Nah, Wisdom save means that the Illusion spells have outcomes you can anticipate, the same way as every other spell school. Just how you can tell certain enemies are probably better at reflex-y defences or fortitude-y defences you can expect which one will be able to tell the issue with your illusions.
Is it though? Running fast, jumping far, swimming, lifting heavy things, horseback riding, throwing things… Did you know the world record for a javelin throw is over 320 feet? That’s five time the greatest range of a thrown weapon in 5e. And let’s not forget the summer Olympics includes boxing, fencing, judo, karate, taekwondo, wrestling and archery. The summer Olympics seem like things warriors should be good at.