Why would you want to write code to save registers in every function that you might not need? That would add extra code and extra memory writes to every single function call. It may not seem significant now, but back in the 80's when this convention was created it probably did matter.
And note that ia-32 doesn't have a fixed calling convention - what you list is only an external convention - ia-32 doesn't enforce it. If you're writing your own code you use the registers however you wish.
Also see the discussion History of Calling Conventions at the Old New Thing Blog.
When deciding which registers should be preserved by a calling
convention, you need to balance the needs of the caller against the
needs of the callee. The caller would prefer that all registers be
preserved, since that removes the need for the caller to worry about
saving/restoring the value across a call. The callee would prefer that
no registers be preserved, since that removes the need to save the
value on entry and restore it on exit.
If you require too few registers to be preserved, then callers become
filled with register save/restore code. But if you require too many
registers to be preserved, then callees become obligated to save and
restore registers that the caller might not have really cared about.
This is particularly important for leaf functions (functions that do
not call any other functions).