We can’t say “put up the article on the website”? It’s because of force of the habit?

Maybe it's not technically correct but I wouldn't notice if someone said this.

This is simply wrong; all the examples given in your screenshot are grammatical and reasonably natural-sounding.

I’m not sure I agree with their terminology, but I agree that “Put up the article on the website,” is awkward.

Related: It's "force of habit" not "force of the habit". And "it's" means "it is" not "is it" "is't" technically exists in old english and people might understand you, but it's nowhere near common anymore. That being said, in common speech you can ask a question by asserting a truth with a question mark at the end, but it's not really correct and it can lead to confusion

The red X version is wrong.