Placement of a package unit heat pump for my shop
longneck's answer above is correct based on the wire and if you can do it, but doesn't really answer if you would benefit from doing it.

There are a number of reasons, but I wouldn't worry much about the shade. Unless the shade is significant in that it actually lowers the surrounding air temperature some, it's a pretty minor improvement. Secondly, you might have the shade in the summer when cooling the space, but (depending on where you are located) you will also have the shade in the winter when trying to heat it.

You can place the unit farther away and other than the ductwork, you are mainly looking at just a higher cost in getting the circuit there.

Take into account the other factors on locating the unit - like noise, space around it (for mowing and such), running the duct, etc. Locate it where convenient and it impacts you the least.