"As for Burrow‘s thesis that some place names reflect the names of geographical features to the west, and thus preserve an ancestral home, they once again rather rely on an assumption of Arya migrations than prove it. [...] His cited equivalence of Sanskrit Saraswati and Avestan Haraxvaiti is a case in point. Burrow accepts that it is the latter term that is borrowed, undergoing the usual change of s- > h in the process, but suggests that Saraswati was a proto-Indoaryan term, originally applied to the present Haraxvaiti when the proto-Indoaryans still lived in northeastern Iran, then it was brought into India at the time of the migrations, while its original bearer had its name modified by the speakers of Avestan who assumed control of the areas vacated by proto-Indoaryans. It would be just as plausible to assume that Saraswati was a Sanskrit term indigenous to India and was later imported by the speakers of Avestan into Iran. The fact that the Zend Avesta is aware of areas outside the Iranian plateau while the Rigveda is ignorant of anything west of the Indus basin would certainly support such an assertion."
Sarasvati River

January 1, 1970