if you want to get off syllabus then yes, SRB do cause traditional oxidation of Fe (rusting)
in nice simple terms for the HSC, NO they cause corrosion not rusting
Simple SRB ACTION (energy to reduce SO4 comes from oxididation of iron)
Fe(s) ----SRB----> Fe^2+ + 2e^1
S04^2- -----SRB---> S^2- + H^+
Fe^2+ + S^2- ------> FeS (s) (rusticle - the redish black crud on the titanic) (Iron Sulfite)
The simplest way i can put the following longwinded set of reactions follow. We do not need to know any of this.
In the following n is an amount i do not know off hand because i dont need to know it, X is a number less than n, y is (N-X) and z is a number even smaller than the rest
nFe(s) ----SRB----> nFe^2+ + n2e^1
ySO4^2- +ne^- ---> nOH^- + yS^2-
nOH^- + nFe^2+ yS^2- --> yFeS(s) + xFe(OH)2 + zH+
xFe(OH)2 +O2 ----> xFe2O3.H20 +xH20 (rust + Water)
(the H+ ion may come from a different reaction than exactly what i have put above.the point is that it does appear and that we just need to know that the net result IS the S^2- and the H^+ (which increases acidity , indirectly speeding traditional oxidation in the vacinity)