Never saw Invincible, but even though Turning Red was ROR AZN CURTURE WE ARR RIVE AT AZN TEMPRE SOFT SPOKEN FATER DISCIPLINE MOTER OVEBEARING EXTENDED FAMIRY WE ROVE MATH, I can't complain about furries shaking their bums. I'd say it was about regaining that sacred part of yourself, when your children get it through to you that they actually don't need you sacrificing who you are for their sake. Also furry bums.
Says on IMDB that Invincible's about the son of the most powerful superhero on the planet. So he seriously sacrifices the safety of the entire planet, just to be a stereotypical nuclear family dad driving the kids to the schools? I'd compare that to The Incredibles before I compared it to Turning Red.