They never appeared in licorice locks, six-coloured levels, rainbow rapids levels, order locks, skull pedestals, rainbow rapids mixed levels, or levels with alternate colour schemes. They were never required for orders either.
Only two levels featured extra moves candies with a non-spawning colour (yellow in both levels).
Although it was discontinued in this game, extra moves candies are still a very common feature in Candy Crush Friends Saga, starting from Level 1221 in said game.
Extra moves candies last appeared in the first version of Level 6910, released only two weeks before they were removed, making it the element that appeared closest to the date of its removal. Most elements that end up getting removed were absent for months, if not, years before being removed.
Extracted configuration of level 3779, showing "Element 84" (which is extra move candies)