I guess I'd need to know what you believe the purpose of automaticity is, and whether "automaticity" is good or bad or aligned with critical thinking or it's opposite.

In reading I see generations of people who can use phonics with automaticity and who thus read "fluently" but have no idea of what they've read or have learned to read so fast that they miss all nuance of language, absorbing almost nothing.

In maths I see students who cannot function if the "math facts" (really "arithmetic facts") required are beyond those memorized because they have automaticity instead of understanding either what the process or the point is. Honestly, I've seen maths teachers with the same problems.

Does it matter if the core arithmetic beneath the actual purposes of maths are done via memory (a tool), a calculator (a tool), or AI (a tool)? I'm not sure.

Maths/Math is a system of structures humans have developed in order to help explain, and eventually manipulate the world. Math itself is a tool, as is language, as is a knowledge of history or science.

When we believe a tool is the point - as sadly, reading teachers do - we mislead students into a box that often precludes the discovery and adaptation of other tools. Just my thoughts.