You could make the noodles then boil them fresh, and often people buy noodles fresh to do so because yes, it tastes fresher.
It’s not only a matter of freshness, but also of texture. Moreover pasta fresca (non-dried pasta, I don’t know if that has a specific name in English) is oftentimes made with eggs (pasta all’uovo) or with a different kind of flour than dried pasta.
There are so many variables that you can’t just say “it tastes better because it’s fresher”: it tastes differently because it’s a different process for a different purpose!
And that’s why I love pasta and noodles in general: a lot of cultures have taken the same three ingredients and combined them slightly differently to produce wildly different results! Ain’t that amazing??? ❤️
I’m not sure but you can look “tortellini”. You can find them both dry and fresh. But the bigger ones I only find them fresh, not dry. So I suppose it’s not possible to safely dry them if they’re big. But again the fresh ones are sold in “modified atmosphere packaging” that allow quite a long shelf life (refrigerated).