Well OW is my first Blizzard game. Whether the writing is campy on purpose or not, I like it and it's fitting.
This is where I stand.
Although, taking the comments about other Blizzard games into account, maybe it could be argued that Blizzard have created a world that gels with their writing to a greater extent than other Blizzard titles.
Overwatch is Saturday morning cartoon in almost every aspect I think. From the character designs, voice work, music, sound design etc. The writing doesn't feel out of place at all.
Maybe the same can't be said for other Blizzard titles. It could even be argued that Blizzard writing is indeed bad and they sorta unintenionally made it work. It'd be amusing if they're trying to not be cheesy, because they're failing miserably.
But I dunno. This is all coming from a relative degree of ignorance.