My total mount count increased after I logged into my Lightforged Pally.
My counts are done off of what Warcraft Mounts shows for my account.
Link: https://www.warcraftmounts.com/collection.php?user=Khayyin
I have discussed and compared various mount counting methods in another post and how drastically they vary amongst one another. But oddly enough, no longer seem to be varying amongst characters. I will link that post when I am done walking this heathen dog, lol.
Link: WTB 450, 500, 550, and 600 Mount Achievements - #41 by Kyzera-bloodscalp
As noted in that 
post, at the time Covenant mounts were restricted to use within their respective Covenants, now that is no longer the case. So it would mean that even less restrictions are being placed on how the system is counting mount totals.