It's a gorgeous corset, go for it!
When you look at the original corded corsets (well, antique corsets in general), the fabrics are often considerably less thick than our contemporary coutils... they're just very tightly woven and often stiffened/moulded with steam on a copper form.
Remember, cording doesn't slide around and try to poke through like steels do and if this is just an occasional-wear corset then the wear-and-tear it will suffer won't be so bad. I've often used a much lighter fashion fabric on the basis that the crisp coutil can provide a flat base whilst the outer layer will flex and mould over the cording nicely.
Have fun with it! Test swatches are your friend