Lana actually has acclaimed bodies of work so she could probably win in one of the lesser categories if nominated.
Even if Katy has another big hit and it gets nominated for SOTY it would still be a stretch for her to win over the inevitably more palatable options for Grammy voters.
2012 Adele "Someone Like You (“Live) - Hot 100 #1
2013 Adele "Set Fire to the Rain” - #1
2014 Lorde "Royals" - #1
2015 Pharrell "Happy (Live)" - #1
2016 Ed Sheeran "Thinking Out Loud" - #2
In the pop categories you need quality (in the eyes of the Grammy voters), but sales are important to even get a nomination. The same is true for pop albums
Which will happen first, top quality from Katy or big sales from Lana?
The other route to a Grammy is as a featured artist.
Probably neither gets one, but none for Katy while she works with Dr Luke.
Katy.
I don't see Lana ever touching one. I mean if she wasn't even nominated for BTD or UV what's the point anyway?
Plus to win a Grammy you have to pander to all the voters and kiss their asses which she'll never do or be this "new it girl" which she was but they were not here for her then.