You are seriously over-thinking this. Chill out.

If an employer had particular reason to suspect the veracity of your logged time they might dig into it. But other than that they don't do "background checks" on your flight time.

Even if for some reason they asked you about that time, all you'd have to do is give them the phone number of that major airline CA who could verify it. But it won't even come to that. Stop worrying.