It's possible to give engineers too much credit, but one has to assume it was designed to meet the specifications. No harm in trying to enhance performance with a sensible approach.
Black objects radiate more heat. Most radiant fins are black for this reason. Painting the sheet metal black would enhance the tendency to reflect the heat back to the unit.
As is the case in all fields, some engineers are incompetent, and some are astute.
There are stories of unfortunate technical decisions being deliberately maintained for decades, due to business considerations.
Not uncommon for one out of thousands/millions of consumers to outthink the handful of company engineers and find a better way.
The least we hope for is a product that meets specifications. Quite often it does not.
Black radiates more, but it also absorbs more.
A black heated object nearby would shine more IR on your heatsink.
A black sheet of metal nearby would absorb more IR from your heatsink. It would then radiate back only some of that heat, and would also conduct away some of the energy.
A shiny metal sheet would reflect most IR back at the source.
So my money is on a black aluminum sheet being a better neighbor than a shiny aluminum sheet.
For long wavelengths of IR, a shiny metal surface will have specular reflection. If you made a 90 degree "V" of reflective metal and mounted it between heatsink and wall, then any IR that landed on it would be reflected away at same angle as incidence but in opposite direction (mirrored across an orthogonal line.) That should deflect IR away from the heatsink. (depending on spacing, because IR coming from surface of heatsink will radiate in all directions.)
I would consider playing with convection. Mount a chimney above the heatsink, so rising hot air holds together and makes a higher velocity draft. Consider how an oil lamp behaves when the glass is placed over it.