The issue with anti-drones echoes how that system has evolved over in Federation Commander, rather than Star Fleet Battles.
In FC, when ADDs were first introduced, they had no "offensive" function; they were strictly for use in a ship's own self-defence. However, as time passed, the first Aegis escorts started to show up in that game. As they did, they started to raise questions about how anti-drones (should) function.
Now, in FC, there is a limited (two hexes, as opposed to three in SFB) range offensive mode, which ADDs can use to try and shoot at drones which are still in mid-flight (or, in the case of an Aegis escort, have impacted against a friendly ship within that range.)
And to clarify, there is no distinction between "limited" and "full" Aegis in FC; there is only one type of Aegis fire control system available to escorts in that game. (Which means that when converting ships over from SFB, you only need the -E variant, as opposed to the more expensive -A upgrade.)
Whether or not the rules for ADDs (and, by extension, plasma-Ds) should follow a similar evolutionary path in ACtA:SF is up for debate; but given the very short ranges involved, a ship lending its ADD support to a friendly unit would likely have to stay in (or near) base-to-base contact in order to do so. So, if either ship ends up exploding, the other will be caught in the blast radius.
Which, in this case, might be the point, since it would force the player to make tough choices about just how far away they want their escort ship to be from the unit it's protecting.