I'd agree with this. Now if someone was to ask why the enemy would get a "cover bonus to AC" as well (even though they might not actually be behind any cover)... my response would be more of semantics--
To try and fire or throw a ranged weapon out from behind a piece of vertical cover (say around a corner), you can't do so effectively just due to the body motion required to make the attack. Your attack would be hindered by trying to fire a longbow by leaning out around a corner (because you wanted to maintain the +2 AC bonus due to half-cover). So that would give the attacker a -2 to their attack roll, which is the equivalent to the enemy gaining a +2 bonus to their AC. Thus my response of whatever cover bonus you wish to claim from the enemy's readied attacks, the enemy gains likewise from your attack (just changing the -2 to your attack to a +2 to the enemy's AC so that I as DM can deal with the number crunching rather than making the player do it.)
And if the player doesn't like that option... they can do what any normal person would do-- step out entirely from behind cover, fire/throw your weapon without any issues (while receiving any readied action attacks against you), and then step back behind cover for the rest of the round. These aren't guns we're firing (where you can stick your arm out from around the corner and fire them at full strength with no mechanical issue whatsoever)... these are weapons that require full body motion needed to generate the power to cause damage.