Insofar as we have data, you are correct, but...
If the only thing you're considering is the planet and nothing else, then you are correct. All planets will experience fundamentally identical behavior (winds moving with the direction of rotation), differing only in the details (where the pressure zones are, wind force, etc.).
If you spin the planet fast enough, I can imagine some of those rules shifting. Yes, the wind will still move generally in the direction of rotation, but ultra high rotation would begin to overcome the longitudinal wind cycles.
The rules would change even more in a binary (or more) star system where heat is applied in a much more complex manner than here on Earth.
And they'd change even more for a tidally-locked planet where the rotation might not be enough to overcome cycles over the light terminator at all. This is the case where better analysis than I can provide would be hugely interesting, because you may see no rotational effects of the wind. (A tidally-locked planet does rotate: once per orbit.)
I also don't want to rule out the axial tilt. Uranus' axial tilt (about 98°) would suggest the possibility of some wild wind changes through the course of a year. However, Uranus is so far away from the sun that images clearly show a rotational wind pattern. But if Uranus were in Earth's orbit such that annual heating (somtimes polar, sometimes equatorial) could seriously affect the winds... and if uranus were Earth-sized such that gravity had less hold for the sake of rotational patterns... that could be a fascinating analysis.
Image courtesy Space.com
I also suspect that if Mercury had enough mass to host a thicker atmosphere that the heat from the sun would disrupt rotational patterns on the sun-side, but they'd reassert on the night-side. That would cause huge circum-terminator cycles. Cool.
The problem is low data
The universe is constantly surprising us. We're finding planets in orbits that not too ago we thought impossible. We're discovering star and galactic formations that reveal the wonderful complexity of what we call home. When it comes to wind patterns, we have basically nine datapoints all within a single stellar configuration. Any statistician worth his salt would tell you that's a sample too small to make universal (literally) assumptions.
But I think there's enough flexibility in what we do know to rationalize a story with a planet hosting non-terrestrial wind patterns.