The Fulmar could certainly find use in various special events. 
However, any time it ran into competent in-period enemy fighters (Bf-109E, A6M2, C.R.202, etc.) it would be very hard-pressed to survive. Even the later Fulmar Mk.II, with the 1,300 HP Rolls-Royce Merlin 30, could only manage a top speed of about 270 MPH, flat-out. That's around 100 MPH slower than the fighters it faced. The Fulmar is a lot like the earlier Battle, and that poor turkey was simply meat on the table whenever it ran into any decent opposition.
Yeah the Battle was a suicide aircraft no less, I am not sure what was worse - that or the Douglas TBD Devastator, both were underpowered - undergunned, both got wiped out on an occasion and given up after that. Simply heroic what the crews did flying them knowing they were in deep trouble.
I certainly hope neither get put in game, other then for historical context.
