I think this is more than just a parallel. Here in these scenes, Hiro is using the same words while he's a superhero, that tadashi said to him. I think this means that Hiro thought those were things a good superhero would say to others. Which means that Hiro saw Tadashi as a true hero. <<<FEELS.
I would do this for the everyone in Harry Potter, The Doctor, Sherlock, John, Jim; Loki & the Avengers, etc. I'd line them all up and give them crazy long hugs. *next! Oh, come here you darling, let me love on you* x)