It is usual for a 5 speed car to have a 3.92 and a 6 speed car to have a 3.62 but of course the specification could be changed by the buyer or a subsequent owner.
You are correct in that, when having an LSD fitted, the crown wheel and pinion are reused and the ratio stays the same although it is a good opportunity to change if you wanted to. A 3.92 with 6 speed provides better acceleration but obviously reduces top speed and increases cruising RPM. A lot of sprinters go this route as I have.
The 3.38 is, I think, normally fitted to the CSR and would be a bit tall for a Roadsport - acceleration would be poor.