Was Babak Khoramdin an Azeri?

Azeris Claim that Babak Khoramdin was an Azeri. Here is a text from Wikepedia.

Wikepedia Text:

In recent years, there has been debate on ethnic origin of Babak, even so trying to fit an anciant figure to this or that nationality goes against any objectiveness. Some Turkish nationalists claim that Bâbak was an Azeri-Turk. On the other hand, Persian nationalists retain the established opinion that he was Persian and that at the time of Bâbak, the Turks had not yet migrated to Azerbaijan.

From the Turkish point of view, it is said that Babak's name can not be shown as a proof of his alleged Persian roots, because it was not his real name. Names of some of his lieutenat's such as Tarkhan who was a Turk and Azrak who was an Arab, show that the movement was a mixed ethnicity, broad regional freedom movement against the Caliphate rule. Existence of Muslims among Bâbak's supporters also reinforces this assertion.

According to the Persian point of view, however Babak's (more correctly Pâpag) name, is purely from Persian (Iranian) origins. Turkic peoples migrated to Azarbayjan several centuries later. Bâbak was a follower of Zoroastrian Persians and Abu Muslim of Khurassan. There are no proofs for a Turkish background. As mentioned in the main entry, the claim that he was Turk is recent and propagated mostly by Pan-Turkists. In early history books, there is no mention that he was Turk. He has always been known as a patriot Iranian and Zoroastrian. Even the name of the province, Azarbayjan is Arabicized form of persian word Azarpadgan meaning the Place of Guardians of Holy Fire (Azar=fire, pad=guard, gan=prefix of place). Ancient Arab historian Ibn Hazm in the book "Religion and People" and ancient Armenian historian Vardan in his "World History" clearly and explicity mentioned Babak as being Persian. There is no sources that claim otherwise. The name of Babak's father was Mardas, his mother in sources has been called Mah-roo. Both names are Persian. The mentor of Babak was Javidanpoor Shahrak, which is another Persian name. Also the two most important commanders of Babak, Adhin and Rostam, were ethnic Persians. Finally the name Tarkhan is also mentioned as "Tarhan" (which is an Arabic word) in some sources. Besides this, the name also occurs in the Shahnameh and some sources mention that the Soghdian rulers of Samarghand went by this name. So this was a general military title. Finally it should be mentioned that there is no trace of Turkish in Azarbaijan before the Ilkhanid era on paper, rock, leather, inscription, etc and all sources at that time mention that Azarbaijan spoke Azar-Pahlavi (the local dialect of middle Persian) as it continues today in Talyshi, Kurdish, Tati and other NW Iranian languages. Due to the invasion of Oghuz tribes, Seljuqs, Mongols, Ilkhanid, Teymurid, Black Sheep Turkomens and finally the Turcophone Safavid dynasty who imported Turkomens from Anatolia, this region became predominately Turkic speaking. But all this was after the time of Babak.

http://en.wikipedia.org/wiki/Babak