Higher points and fewer assists (well under 10). He will be forced to take more shots with fewer reliable scorers to feed.
I don't know about your view on assists (well under 10). There's been guys who've lead the league in assists on some pretty crappy teams, like Andre Miller who put up 10.9 apg on a 29-53 Cleveland team, and Mark Jackson who put up 11.4 apg on Denver and Indiana who went 31-51 with Jackson (he was traded mid-season). Then you have a guy like Brevin Knight who put up 9.0 apg on a 18-64 Bobcats team. Vasquez put up 9.0 apg last year on a team that had Ryan Anderson as the leading scorer (unless you argue for Eric Gordon's half a season).
Nash also recently leading the league and putting up double digits in assists on some pretty unspectacular Phoenix teams. Unless you consider guys like Jared Dudley and Marcin Gortat to be reliable scorers. Goes to Lakers with much better scorers, then you see a huge drop.
Rondo's best assist year the Celtics scored the fewest points and had the worst offensive rating of Rondo's entire career. In 2012 the C's had an offensive rating of 101.0 and 91.8, both the lowest by far during Rondo's career, yet that was his best assist year (11.7).
I think getting assists and playing with scorers and on good teams aren't as correlated as many would think.
I don't expect Rondo's assists to drop much, if at all. I imagine he'll still put up 10+.