D-handles are shorter than straight handles to start with and a D-handle for a spade is quite short by itself.

The socket on a Cold Steel does not fit a regular shovel handle because it is a bit smaller.
However it does fit a floral size shovel handle which are a little bit thinner and shorter than a regular handle.

I would likely buy the floral head instead of a CS shovel if I was just going to use it for getting a car unstuck.

Cost does matter to me and the CS shovels are a bit more expensive, but my CS shovel gets used rock hounding and gets a lot of abuse which the usual stamped steel shovels don't stand up to for long.
Regular shovels are much more comfortable to dig with if you have to move a lot of dirt or snow because the angle between the head and handle is better to work with.

Also you can usually find shovels missing handles "dirt" cheap.