No, the opposite.
Anything that adds damage to wind devil will boost “Howling wind”, the base aura damage of wind devil.
Maelstrom is a supplemental attack, and is not affected by mods to wind devil. The only way to boost Maelstrom is to increase the skill level.
However, DoT from Maelstrom DOES stack with both the base aura, and other maelstrom from other wind devils. So if you have 4 wind devils out, you can have 5 concurrence DoTs going on: 4 (unboosted) from maelstrom, and 1 (boosted) from the aura.
Same rule apply to flat damage as with DoTs : the bonus will only apply to the aura.
If you want a pseudo pet build centered around DoT, there are a lot of cool options for mortar and Storm Totem, both of which have attacks that are not supplemental, and carry the full bonus of any mod 
(Mortar even more so since it has 2 distinct attacks if I remember correctly)
And of course, if you want to abuse the idea of stacking a gazillion different DoT through pseudo-pets, this thing has 9 to 14 pets that each have at least 2 different attacks each … It’s outdated and probably suboptimal, but it clears stuff just zooming around.