In my own opinion, it's not softer but it's somewhat similar to her May Jailer days (or the days following it but slightly behind her A.K.A Lizzy Grant days) if May Jailer were a little more heavy.
Personally I think Pretty When You Cry would also work (alongside Brooklyn Baby). Guns and Roses is also great but it's kind of just one of those "end of the album" songs that just never really qualify for single status. Similar to Florida Kilos. It's so amazing and catchy but it's just one of those closing songs that wouldn't survive as a single.
Fucked my way up to the top probably couldn't be a single because of it's content, unfortunately .-. Too controversial generally. It would probably get even more feminists punching Lana in the face.
Also, Shades of Cool is probably my least favourite song on the album. I think West Coast definitely works better than Shades of Cool as a single