It isn’t, really. In informal English, subject ellipsis is common, but the implied subject is usually “I”, hence my original comment.
Subject ellipsis occurs in the casual register with first person as the predominant referent
https://www.sciencedirect.com/science/article/abs/pii/S0378216603000997
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Yes, that supports what I was saying.
Says the exact opposite. Keep reading.
I read the whole thing. I didn’t see any examples of “it is curious”, only “I am curious”.
You’re really making me work for it when you could just read it and back off:
The specific usage of “curious if” is perfectly acceptable in much the say way that “curious whether” is acceptable. It does not imply a conditional.
I’m curious whether other people feel like I do.
“Curious,” by the way, has a few other variants:
I’m curious if other people feel like I do.
I’m curious as to whether other people feel like I do.
I’m curious about whether people feel like I do.
To directly answer your question:
However, is it actually improper or logically incorrect?
No, it is not improper or logically incorrect. Which of these is more appropriate is a matter of personal and regional preferences.
So a complete version of your original comment would be, per these examples, “I am curious about who sponsored it”? Because my original reply was a response to the implied question: it says who sponsored it in the article, so you can read it and find out. If my inference was incorrect, please clarify. That’s why I recommended using complete, unambiguous sentences in the first place.
Stop drinking. Read instead.