can i load my AC.B pc save onto my switch?

hi. i am new to the ac world and am playing the games in chronological order. right now i am on ac brotherhood, playing on my pc.

i also recently got a switch and want to be able to play ac on it. i bought the ezio collection so that i could play all of his games with portability. though, as i've downloaded it and loaded ac.b, i realized that my pc save was not on the switch despite being logged into ubisoft connect.

from my research, ac.b does cross-save between platforms as long as you're logged into ubisoft. i've even got my pc save on my laptop.

is there a step i'm missing? i'm looking to my more experienced ac redditors for help!