Perhaps not quite ..
(a) the minimum gradients (generally referred to as the WAT limits) are absolute minimum still air OEI gradients to give the chaps a fighting chance of going up rather than down ... they have naught to do with obstacles. In general, reference to "climb limits" will be to WAT limits.
(b) unless the runway is extremely benign from the point of obstacles, the required gradients for obstacle clearance generally will exceed the WAT limits with associated weight reductions compared to WAT