Earlier quoted context omitted.
In principle I agree with you. The missing part of mathematics education, IMO, would be to focus more into developing the intuition of what something means, instead of the current focus on getting some (numeric) results.
That was one of the biggest changes that happened with common core. Common core itself didn't really mandate this, but it took a reset of the curriculum to insert the new ideas like an emphasis on intuition rather than rote arithmetic.
You can't just skip arithmetic drills in favor of intuition and still come out with students who are prepared for further study in math. There's a reason Kumon etc are so popular - parents are replacing the lack of mathematics drills in schools with after school options, leaving behind all of the kids whose parents can't afford it.