/execute anchored does not take effect until local coordinates (^ ^ ^) have been used at least once in the process

This command executes at feet height, even though it should be executed at eye height as far as I know:

/execute anchored eyes run summon armor_stand ~ ~ ~

This works as expected, even though both should describe the same position:

/execute anchored eyes run summon armor_stand ^ ^ ^

This command uses the regular relative coordinates for the actual summoning, but works as expected:

/execute anchored eyes positioned ^ ^ ^ run summon minecraft:armor_stand ~ ~ ~