Windflier commented that the citizenship requirements for senator were probably like that of POTUS. As you have pointed out, they are not and, knowing that, I commented “nope”.
Now, now, now. I never said that. What I said is that, "I'll bet dollars to donuts that there's a clause in the Constitution about that too."
Even without knowing the exact statute, I'd already guessed that the eligibility requirements would probably be different - but that there would probably be something in the Constitution referring to a Senator's eligibility in relation to his citizenship status.
It turns out that there is, although it's not nearly as strict as that for the office of President.