Mayonnaise is mostly oil and egg, which is kind of more akin to carbonara than Alfredo. That said, it has a sourness that isn’t going to mesh the same way-- basically, vinegar and/or lemon juice, which one generally wouldn’t want much of (if at all) in something meant to be creamy. Main reason I don’t particularly like it as a butter substitute in grilled cheese.
Knowing what goes into things like mayo, ketchup, Sriracha, etc, can work well when you’re in a pinch, though. It’s just harder to control the ratio of sugars, salts, and sour components so you have to offset that elsewhere.
“Remember memes… though half a weeks gone by. Remember memes, even if work makes you cry. For even if it’s far away, the weekends in my heart. I sing my silly songs to you each time we make meme art…”