Are all the hadiths in "Sunan al-Nasa'i al-Sughra" authentic?

Imam An-Nasa'i is Ahmad ibn Shu'ayb ibn Ali, whose kunya is Abu Abd al-Rahman. He was born in the year 215 AH and passed away in 303 AH. His book "As-Sunan al-Sughra" is called "Al-Mujtaba" or "Al-Mujtana", and it contains 5774 hadiths. Some scholars have referred to An-Nasa'i's Sunan as "Sahih (definition)" (authentic) due to the strictness of Imam An-Nasa'i's conditions, but this claim is not accepted because it contains weak hadiths. As-Sunan al-Sughra is the least of the six books, after the two Sahihs, in terms of weak hadiths, and it does not contain a single fabricated hadith (definition). There are many commentaries on As-Sunan al-Sughra, the most famous of which are Al-Suyuti's commentary "Zahr al-Ruba ala al-Mujtaba" and "Dhakhirat al-Uqba fi Sharh al-Mujtaba" by Sheikh Muhammad ibn Ali ibn Adam al-Ethiopi.