You can believe what you want.
You literally quoted it yourself.
The form itself states "I certify that the benificial owner is a resident of ______ within the meaning of the income tax treaty between the United States and that country".
But sure, of course, the instructions for filling out that form mean you can put anything there as︀ you like, of course.
Sorry, I only recalled the electronic version,︂ as used by e.g. IBKR. I believe on the paper form, you would simply leave︃ Part II blank or not submit the form at all.
Read the form itself, as above. You︅ have to certify that you are a tax resident of the country (i.e. that you︆ are entitled to treaty benefits). The treaty itself stipulates that this means you are considered︇ tax resident by the other country. You cannot claim treaty benefits if you are not︈ a tax resident of the other country, even if that's where you live.