I'll be quite honest, I'ma lose my cool with you real quick. The books entirely support that position, they DO NOT support your position.
I'll break it down for you, Barney-style.
The fae lady mantles are supposed to go to the closest reflection of their court.
Lily was an undeclared changeling. Her mother was a Nixie, making her a mortal, technically. But Nixies are members of the Winter court.
FLAW.Lily said that no mortal has ever been given a fae queen mantle.
Mab confided in Harry that she was once mortal.
FLAW. It's a double
FLAW, since Mab and Titania are twin sisters per WOJ. Whoops! It's a quadruple
FLAW, since Maeve and Sarissa were Mab's twin daughters by an Austrian composer in the 19th century, and Maeve was already the Winter Lady.
WOJ is that a person possessing a fae mantle can't acquire another one, since they would be 'full'.
https://wordof.jim-butcher.com/index.php/word-of-jim-woj-compilation/woj-on-the-fae/ On this page, all the way at the bottom.
Lily was the Summer Knight and acquired the Summer Lady mantle.
FLAW.In Summer Knight, Aurora just dies. Harry doesn't even find out until days later that Lily is now the Summer lady and Fix took up the Summer Knight.
In Cold Days there's a big dramatic sequence where the mantle coalesces into a big green bird-like figure and leaps from Lily's prostrate form into Sarissa. The same thing happens between Maeve and Molly, only the bird is blue.
FLAW.
These are contradictions. We are being told one thing and being shown another. Until an errata sheet is published, there's no clarity. And, FWIW, Jim has said out front, that he WILL lie to us. Until and unless it's shown and explained in the books, it's not written in stone. And even then, comic book rules apply. Harry is a rule-breaker. See also: Law of Magic 1 and 5.