This. I've hired in a number of roles, in several industries, and what they've all had in common is that rejection is never personal.
My first career was in theatre, which a) is (or at least was, back in the day?) much more competitive than tech - par was one callback (ie, second screening) per 100 auditions, and one casting per 10 callbacks; and b) is genuinely, deeply vulnerable - you have to bring your whole self into your work, in a way that you don't in any other field.
It's still never personal, and actors who don't develop thick skins wash out quickly.
I once auditioned three rounds for Romeo, at a company I really liked, and thought I'd killed it. I didn't get the role, and was pretty bummed (particularly since - actors are nothing but petty - I didn't much like the performance by the guy who did). Six months later the casting director button-holed me after seeing another show I was in, and told me I'd been their first choice, and he was sorry they'd not been able to cast me. The trouble was, he said, their only good choice for Juliette was at least a foot shorter than I am, and there was no way that wouldn't have looked awkward.
It's never personal.
Furthermore, that "failed" audition directly led to two later jobs, and I think indirectly to a third. Having a good interview, even in a situation where you don't achieve the immediate goal, can only be good for you - both by developing your own skills, and for creating a reputation for competence within your industry.