That is also how they measure the two-way speed of light. They ignore any acceleration and therefore assume orthogonal axes. If they do it for the two-way speed of light, it should be done the same for the one-way speed of light.
If Snell's law wasn't isotropic, then all the optics in the world would need constant adjustment as the world spins around. Since this is not necessary, Snell's law is isotropic.
Your example has two clocks. The above experiment has only one clock. The Wikipedia page discusses the problem of synchronizing two clocks. Not a problem here since there is only one clock.
To measure the two-way speed of light, a pulse of light is sent thru a vacuum to bounce off a mirror and return. By knowing the distance to the mirror and how long the pulse takes to travel, the two-way speed of light can be calculated. To measure the one-way speed of light, place a transparent...