The "PC" was not ahead in the beginning. Look at the original spec of VGA and you will find planar gfx also. The Amiga gfx were ahead of the original VGA spec. The difference was the amazing advance of PC gfx from VGA to super VGA to 3D accelerated Voodoo gfx before the Amiga could even get AGA or chunky modes that left the Amiga in the dust....
The mode most used in Vga that is called planar is mode x, and it works a bit differently (better) than the amigas planar mode. here is a quick description of it:
http://en.wikipedia.org/wiki/Mode_Xnotice two lines in that article:
Planar memory arrangement splits the pixels horizontally into groups of four. For any given byte in the PC video memory aperture, you can access four pixels on screen, by selecting the plane(s) you require.
Planar mode allows up to 4 adjoining pixels to be modified in one byte write operation, which is ideal for solid filling of objects such as polygons, rectangles, lines, etc.
Mode x was tricky to handle but could actually be faster than chunky graphics. On the Amiga Planar graphics are always slower for this type of operation. The way the Amigas graphics hardware was setup made mode x impossible or not any faster
here is a really in depth programming article on mode x:
http://www.gameprogrammer.com/3-tweak.html