Actually, your math is incorrect due to an incorrect assumption. There can be 5 drone waves out since they spawn every 6 seconds (see the attached screen shot showing 20 Mark I drones at a time. Each Mark I Enclave spawns 2, 2x2 enclaves = 4 per wave, 4x5 waves = 20 drones). If you don't understand how Armor Piercing increases DPS, just go with the lower of the two numbers in each pair.
If you look at the rightmost column of the tables I posted, you'll see the "Damage over lifespan" column. That is the total amount of damage a drone of that type can do during the 30 seconds it lives.
Sum up that column, multiply by 2 (for 2 drones per spawn), then divide by 30 to get the spawn DPS. If your drone spends less than the full 30 seconds in range of the target, this number can go down.
Enclave total per spawn Damage = (210 + 180 + 252 + 180) * 2 = 822 * 2 = 1,644
1644/30 = 54.8, or roughly 55 DPS.
Four simultaneous spawns = 220 DPS.
Five simultaneous spawns = 275 DPS.
But five simultaneous spawns requires that your drones be within 1 second of target, move, and fire from the instant they are spawned: a circumstance that almost never occurs. Given the AI's prioritization of the Enclave itself over your drones, that usually means your Enclave is under attack (and soon dead). Even in your screenshot, your drones are only doing 66%-ish of max DPS.
Even assuming that all of your targets are within range of spawned drones, AND your drones face no delays in targeting and firing, AND your Enclaves don't die, AND all the drones get max multiplier against their targets, you can still only get 1375 DPS.
As for Armor Piercing, how do you claim it increases damage? It can prevent reduction of damage, but there is no mechanic in the game for it to increase the power of a shot.
Finally, I did a couple of tests. On 10/10, two Mk I Enclaves were unable to hold back the very first wave of the game. I tried a dozen times, and it failed every time against a bunch of different waves.
A full cap of Mk I Sniper turrets defeated every wave that wasn't sniper immune.