Control was amazing, game of the year for me personally. Alan Wake 1 was already a bit dated/bland gameplay-wise when it came out and the remaster didn't do it any particular favours. The story is great however, so at the very least I'd watch a comprehensive recap/analysis on the story.
Control is its own thing entirely and isn't required to fully understand Alan Wake 2, but having played it and its DLCs beforehand it definitely adds to the lore and gives insight to the "bigger picture".
I played the DLCs after finishing the main game and (even as a big Wake fan) found them a bit unnecessary. They would've worked better if played during the same playthrough, not afterwards imho.