Transfer-matrix results in 2D show that wetting of a rough, self-affin
e wall induced by bulk bond disorder turns discontinuous as soon as th
e wall roughness exponent zeta w exceeds zeta(0) = 2/3, the spatial an
isotropy index of interface fluctuations in the bulk. For zeta(W) < 2/
3 critical wetting is recovered, in the same universality class as for
the flat-wall case. These and related findings suggest a free-energy
structure such to imply first-order wetting also without disorder, or
in 3D, whenever zeta(W) exceeds the appropriate zeta(0). The same thre
sholds should apply also with van der Waals forces, in cases when Co i
mplies a strong-fluctuation regime.