Every table will treat it differently.To clarify, I was talking about whether all spells are actually spells within the fiction, or if the spell is just a handy mechanical container for effects, and they're reskinnable within the fiction.
Like, the Wild Heart Barbarian can cast Speak with Animals as a Ritual at 3rd level, per the latest packet. Is the Barbarian actually casting a magic spell, recognizable as the exact same spell the Druid casts to the characters, or is speak with animals just the handy container to represent the Barbarian's connection with nature?
Personally, I treat spells as just the mechanical bucket they put magic into for ease-of-use. So when the High Elf had a free cantrip as part of their species features, I never thought of it as every High Elf being a spellcaster, but rather the cantrip was just a magical ability they had. Yes, it was called a 'spell' to make it easy to define and apply any applicable rules to... but the narrative could be whatever we wanted.
In terms of the Barbarian, I currently have a Totem Barb in my current Theros campaign, and I don't even bother making the player 'perform a Ritual' to use their Speak With Animals ability. I let the Barb just talk to pretty much every animal they want all the time. They have a baby pig they carry around with them, and the two of them talk to each other without me ever being concerned about rituals or how many times per day or any "mechanics" or the like. It's a roleplaying and story-based ability for the most part, so while it's magical, it's not treated as a spell.