Naturally. Whichever side bears the buckle will be more difficult to access.
This said as someone who has been carrying lefty for over 25yrs, and have driven over a million documented miles, most of which included my EDC’s.
Since this is America, it’s also fair to recognize, a large segment of our population (pun not intended) aren’t physically capable of a rapid cross draw, especially in the confines of a vehicle.
Crossdraw used to be more popular. So did weaver stance and Jheri curls. Some guys like to hang onto out-dated gear and techniques more than others, and anything is better than nothing, so “ok” is enough for some folks. But there’s not much sense in being willingly ignorant to improved techniques and gear, or pretending inferior techniques are superior because you feel some natural attraction to an outmoded method.
It’s simple physiology - crossdraw requires more movement than strong side or centerline. Sure, you posit a “same side” attacker as a shorter distance to target, but video yourself sometime making the reach and draw - use some video editing software to trace the path traveled by your hand and the firearm. When you see this on video, it’s very clear why the split times are longer when running cross draw, even for thoroughly trained and practiced professionals.