Well, I can see a practical difference between a fighting pistol and a precision range piece. One, the manufacturer designs to withstand the rigors of field carry, nasty weather, rough handling and so forth. The other is built to exceptionally tight tolerances, and with features specific for accuracy (heavy barrels and slides, fully adjustable sights and so on).
But it's often a pretty arbitrary categorization, as a combat pistol can be rigged out as a precision marksman piece and vice versa. Look at the 1911 - precision range pieces costing thousands of dollars, budget models costing mere hundreds (that work just fine for a personal defence sidearm) and everything inbetween.
When I think of combat pistols, I think of the amazing variety of service weapons that have actually been used in combat around the world, with military, para-military, police, ... Colts, Browning, SIG, FN, CZ, H&K plus all sorts of companies that have faded into history.
Even within the USA, you have SWAT teams using 1911's, SEAL teams using SIGs, others using Beretta, HKs, Glocks, S&W - the list goes on.
Among my own guns, is my SIG P226 a combat pistol and my 4" ss GP100 revolver not one? Either one, to my mind, can surely make for a highly effective personal defense weapon (or offensive one for that matter, if so inclined). My 6" GP100 is my most unwieldy weapon, but long barreled revolvers sure have seen a lot of combat in their time.