Not on PPS, you get full rate of FTB if you're a single parent with care of the child. I'm not exactly sure when it does become means tested, but I know it hasn't reduced for me ever. Mum used to work at Centrelink and said this is correct. I know BG will have more info on it, but no reduction for me as a single parent and working!
the only reduction for FTB for a PPS customer occurs when you've got less than 65% care of your kidlet or when you go off PPS after that six fortnights of high income. then FTBA only is impacted by your income (unless income is over 150k - FTBB is still max rate)

FTBA for customers on PPP stay at max rate while on PPP, FTBB fluctuates depending on the income of the lowest income earner and age of youngest child (younger than five is higher rate)