I don't think it would be much help.
Garry Dean use it on wheels. But I think the cleaning comes from the detail juice he uses, not the APC.
Larry Kosilla made an audio Podcast explaining the cleaning ability of products some time ago, you can certainly find it on his website
AMMO NYC | DRIVE + PROTECT The basic is this: To clean organic material such as blood, oils, food residues, sugar and so on, you want an alkaline product. APCs are alkaline.
For cleaning mineral and metals, you want an acidic product. This is why most Wheel cleaners are acidic.
So with that in mind, an APC should be very ineffective at removing brake dust and other contaminants that will be on the wheels.
If you don't want to use an acid cleaner for health reason, here would be my 2 advices.
1. Use an ONR. The technology in no rinse products make them very effective at removing all sorts of dirt. You could use a stronger concentration in the spray bottle to cover the Wheel before doing the washing with your soap water.
2. Mix your own Wheel cleaner using a safe acid such as vinegar and dawn. It won't be as effective as the stronger acids used in Wheel cleaners but you won't have any health concerns.