I've never seen any real evidence to say synthetics have less friction or even have less wear than conventional dino. Lots of evidence does say synthetics are more chemically stable, longer-lasting, leaves less deposits.
Slipperiness (less friction) has more to do with viscosity and friction modifier additives and less to do with the base oil.
Its hard to find reliable wear evidence, yet the current Castrol GTX Synblend 5w-20 & 5w-30 claims an 18 micron score on the Sequence IVA wear test, and the current Mobil 1 claims about a 19 micron score on the same test (the SN limit is 90 microns, smaller number better). For other oils its almost impossible to find out how they did to compare, but at least we have those two, one on the bottles/jugs, the other on their website, assuming marketing isn't lieing to us.