Yes, that's very much part of it. I don't think you can totally disassociate everything else though. And you've added a barber into the equation.
You might say that both sides of your face came out the same.
Then you might ask the barber if he had an easier time doing one side or the other.
He might say that it was easier with the razor that was better balanced and even though he achieved the same result on this shave he wouldn't be able to use the other one for constantly giving shaves all day long.
Moving a bit more towards the intangible, he might say that one doesn't fit his hand so well and distracts him requiring more concentration on that part of if.
And finally, he says it just puts him in a better mood whenever he looks at that razor and uses it making his job more enjoyable. He finds that more people ask for a shave when he has it sitting out on the counter and they always choose that one when asked which razor they'd like him to use.
So for the first part there's no difference. I don't think Livi uses or produces significantly better steel than a quality vintage (or new) blade. I don't think you can achieve a better edge with a Livi. After that may be where his razors start to diverge from the average/ordinary.
So back to the cars :). Both got you to point B. Would you rather drive the fiat or the enzo? Would you pay more for the enzo than the fiat (not how much; but more)?