The LCA is connected to the "body" and the "axle", therefore the only time the LCA angle will change is when the distance between the axle and body decrease.
The tire diameter would only affect the distance between axle and angle when the suspension is conpressed. i.e. a shorter tire would allow the tire to tuck further inside of the wheel well when cornering, causing a greater change in LCA angle, but not to exceed the height of the fully compressed suspension.
At least that's what I came up with.
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