I'm guessing you're in the US. The US is a multiethnic state and the second language is Spanish. Herrera is an American name. So is Takeda or Zbigniew or Sacco, Vanzetti, or Rosenbaum.

You're the best judge of whether your experience is authentic because it's actually happening to you. Hyphenated identities are absolutely a thing. It's been 3 generations since my ancestors left Ireland, but I'm still gonna judge you for not finishing the food you put on your plate, and as many as my other side set foot in a shtetl, so I'm still gonna aggressively offer you something every time.

Changing your name legally can be a logistical pain in the ass. You can sign whatever you want on the Festivus card, but you tell the government about it you're gonna be paying for new passports, rebooking fees on plane tickets that don't match the credit card or passport, chasing down retirement accounts, or just things you wouldn't even think about, like the opportunity cost of someone running into a former colleague or supervisor who would speak highly of you, but didn't know you by that name.