why do you say they're going to corrode faster than chromed steel? the electronegative differences between aluminum and steel are substantial. the only thing that can cause bad enough corrosion with an aluminum wheel is with the use of non-stainless spokes, and due to the dissimilar materials at the spoke/wheel interface, you will induce galvanic corrosion, but as long as you keep your wheels dry after you wash them, you won't have to worry about much!
Yes you'll have corrosion problems associated with galvanic corrosion (Electrolytic) and dissimilar metals.
Additionally if your looking for a shiny or reflective surface...aluminium will dull faster due to its surface oxidation characteristics. Its actually one of the ways that aluminium protects itself from worse corrosion.....but surface oxidation will occur faster than with chromed steel.
Aluminium is also susceptible to Exfoliant, Intergranular, and Stress corrosion (Certain Heat treated alloys) in ways steel is not.
Now the last three are pretty extreme cases. But I've seen a fair bit of it on Vintage rims. Takes a fair bit of neglect to achieve the state.
I guess the point I was trying to make is that without a barrier the alloy wheels will be dull due to surface oxidation much more quickly.
Personally I find the alloy wheels much more difficult when it comes to the breakdown of the barrier on the surface then Chromed steel.
Its fairly challenging to polish and protect Alloy when the barrier has been compromised. Short of polishing and reapplying a protective coating.