The Arduino IDE calls the compiler for the sketch and any .cpp files that correspond to header files that are included in the sketch. It does not read through the included files to see if they include anything.
The <> tell the compiler to look in a standard set of places for the file to include. The "" tell the compiler to look in the standard places plus the Arduino-specific places for the include file.
Which set to use depends on where the include file is located, and whether there is (potentially) a local copy that you want to specifically include or exclude. Most of the time, it makes no difference.
I decided to change it because a) it was hotlinked, and they might change the image, b) it was a bit juvenile, even though it fits, and c) its been up long enough...