I think tagliatelle is actually more authentic anyway lol
But unless a recipe is something like my great-grandmother's Christmas cake recipe they're all more like guidelines rather than orders which must be obeyed in my opinion. Cooking is chemistry in a way but it doesn't have to be so exact and part of the fun - for me anyway - is experimenting, or knowing what can be used to substitute for something else if you don't have it.
I improvize a lot but even if I tried, it's never going to be the same. Vegetables differ, condiments can differ (if you open a new pack/ bottle) and I don't measure everything so the ratio of ingredients differ too.
I like variation. But if I'm looking forward to a specific recipe I'll want it the same as that's why I like it. I can still appreciate other versions of a dish, though.
First off, bolognese actually goes with tagliatelli in Italy. Spaghetti is used for other dishes so it's a little closer to real Italian food when you use tagliatelli.
I always see recipes as suggestions. I want to know the technique, outcome, and ingredients but after that I go completely off on my own. I will often read four or five recipes and then combine what I like out of all of them to make whatever I wish.
What always matters is - does it taste good? Sure. Sometimes if you vary so far from a recipe it's inappropriate to call it the same thing, which is fair. If someone tells me I'm getting a cheeseburger and they substitute the beef for a pork chop, I'll still be happy but it needs a different name.
At one stage I researched Spaghetti Bolognese recipes. I found 3 that claimed to be the original.. I tried each exactly as their recipes prescribed. And the adapted the bits I liked in all three into my own. One family member had discovered adding bacon to theirs and another adds crushed chilli to his. I have tried to add those too. It's fair to say the recipe is constantly evolving. Who knows, you may end up making something entirely new.
If you were working in a restaurant, the exact reproduction of a recipe would be crucial. Otherwise the restaurant owner couldn't call the dish Spaghetti Bolognese on the menu! Restaurant goers expect the dish to be exactly the same every time.
But home cooks like you, (and me), usually get creative, OR we just pinch hit and use whatever is in the fridge. It's a riff, if you will, on the original dish.
things like soup I definitely improvise a lot even just chucking in leftovers or whatever. but if I am baking a cake or something I try to be more exact.
Over the decades I tweaked my signature recipes to where I never deviate to where they developed and evolved, they would taste vastly different if I did.