It’s extremely rude because it’s condescending. I’ll wait is typically said when someone is asking a question they already know the answer to. I’ll wait presumes the person doesn’t also already know the answer,insinuating that they’re not as smart or well-informed as you.
Let’s also get rid of its cringeworthy cousin, wait for it. It’s an okay thing to say before giving your dog a treat. Otherwise, ditch this verbal clickbait.
Another condescending one is the presumptive you’re welcome. “I’m pointing out that you have failed to thank me even though I just now told you what I did, you ingrate.” Its smarmy and self-congratulatory. Unless you’re a stand up comedian, stick your presumptive you’re welcomes in the garbage disposal.