Is there a significant difference in weight between tires/wheels of a given O.D. and width, say a 32" X 12.5", but having a different wheel size, say 15" rim versus a 16" rim versus a 16.5" rim or versus a 17" rim; assuming aluminum/mag type rims?

The tire manufacturer web sites don't seem to give weight information.

I would hope to get the lightest combination of rim/tire for the same O.D. and width.

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RBD