Couple of points.

Light scatters more at the higher wavelengths, ie blue. This is why the
orange colored "blue blockers" improve visibility. They block the
scattered light from haze, dust, etc. If you want this effect, you'd
need your canopy tinted the same reddish color of the "blue blocker"
sunglasses.

If the canopy is tinted, the canopy itself should absorb more light.
Because some of the light is blocked and not able to pass through to the
cockpit interior there should be a reduction in temperature in the
cockpit. I suspect that this would not yield a significant difference
in cockpit temperature. One potential downside is that if more light is
absorbed by the canopy, you could potentially experience issues with the
canopy not wanting to close nicely on a hot day due to the additional
thermal expansion.