I wrote a little program to build a Saxon tree using various parsers: two pull and two push. These were the results, all timings in milliseconds:
Input size (Mb) Xerces Piccolo SJSXP Woodstox
6.8 1200 1320 1270 1030
14.0 2400 2670 2640 2033
Xerces and Piccolo are SAX (push) parsers; SJSXP and Woodstox are StAX (pull) parsers. So there's certainly no reason from these figures (or from any other considerations really) to believe that pull is intrinsically faster than push. But it's interesting (a) that Woodstock does appear to have a demonstrable edge (20%) on all the others at least on this sample -- one would have to test a variety of other XML documents to be sure that it's sustainable, and (b) that Piccolo doesn't beat Xerces in this test, though they claim to be twice as fast in other tests.
I'm not recommending that everyone switches over immediately to Woodstox - as often happens, they seem to have achieved some of the speed by taking short cuts on conformance, especially checking the detailed rules for valid names and valid characters. But if the 20% matters to you and you know the XML is valid already, it may be worth considering.