Horizontal only polarization has other weaknesses separate from the receiving antenna orientation, especially when it’s fairly close to the ground. Having said that, in hilly terrain it is often preferred.
This study in support of H only used cars with vertical whips, though.
There are many variables but the most important one is where is the target area and what is the terrain between the antenna and the target (and the distance).
Remember, natural topography causes reflections and when you send out the signal polarized only H or only V, it can get twisted. End of story, almost, but modern in window antennae, like Alfredo pointed out, are J shaped and are circularly polarized so they can receive most anything in any orientation. Transmitting circular pol helps to reduce flutter because even if it gets twisted, there’s still components in both planes. Also, H or V only transmitting results in more multipath issues.