She should have said knit the purls and purl the knits.
No - you knit the knits/purl the purls as they look on the needle as you're ready to work them now, NOT what you did on the previous row. Knit the knits and purl the purls is right.
(On stockinette, if you knit one row, then turn the knitting around like you do for this scarf, you have to purl the purls that you see to stay in stockinette)
While I fundamentally agree with you, it is sometimes easier to explain to someone who isnt reading a chart clearly as knit the purls and purl the knits. Meaning that if you knit it on the RS then you purl it on the WS, which is the exact same thing you were saying, only said differently.