If we take the Radnot partition map at face value, and
@Jürgen 's predictions of anti-semitic policies of partitioners at face value, we will drastically change the trajectory and development of Ashkenazi Jewry and it environment that later became known as "the Pale of Settlement" from the mid-17th century (basically 1660) onward.
Applying the policies to the map, with the Swedes and Cossacks (and Russians- but they do not appear to be getting anything) adopting "Spanish-style" expulsionist policies, Jews are excluded from all Ukraine and all sorts of prominent centers of Jewish life like Vilna, Warsaw - it is written as "Varsovie" in the map. Grodno, Minsk, Pinsk. You won't have the Vilna Gaon without Vilna, for example [maybe you could have a Lublin Gaon instead].
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Jewish communities would be permitted to persist only in under 50% of the land area of the former PLC, all inland areas well away from the Baltic and Black Seas, in Brandenburg's Posen partition, in rump Poland, with Cracow and Lublin as its leading cities, in personal union with Transylvania, and in the two "Pornographic" Duchies or Countries of the Radziwills, Slutsk and Brest, sitting astride the Pripet marshes.
Constrained to reside in a much smaller area and likely taxed and robbed on the way out, this would be an impoverishing experience for Jews of the former PLC, likely limit natural net population growth, and encourage some conversions and defections. It would probably also encourage Ashkenazi emigration further afield, and at this time, with Prussia "saturated" beyond its willingness to tolerate absorbing more Jews, the Austrian Habsburgs intolerant, the main direction would seem to have to be southward into the Ottoman Balkans and the lands of its vassals, so everywhere between Romania, Hungary, Dalmatia, Salonica, Athens, and Smyrna.
Odd effects might include the addition of an Ashkenazi quarter alongside the Sephardic quarter of Salonica. In Hungary, it would all be little rest for the Jews as the Great Turkish War is coming soon. Although Sobieski won't be there to be a champion for Vienna.