Yep you're right, I got my shortcuts between bash and zsh mixed-up. I edited my post, thanks for the correction.
(Not sure why bash did not go the obvious route here, I guess they already had something on ctrl+S when they implemented forward search...)
EDIT: actually, you can activate ctrl+S for search-foward on bash by using `stty -ixon`. See more info about why here https://unix.stackexchange.com/questions/141422/searching-hi...