I do find the association with the Nazis a bit far fetched. The cog is a symbol associated with syndicalism, socialism, and to a lesser extent technocracy. It is also used often for specialised agencies related to infrastructure development, logistics, etc. Interestingly, a cog is also on the background of the Italian coat of arms. If you Google "cog political symbol" you will mostly get some fantasy political entities from RP forums or some obscure left political parties in Africa. The lack of immediately obvious nazi-related findings on the search engine is a good proxy variable for evaluating the obscurity of the relatedness of a cog as a political symbol to the nazi ideology. Similarly, a Spartan helmet that is overused in different sports team logos instead of alleged swastikas is too much of a leap of faith and a biased approach to interpretation. As Sam Harris put it: " one can find a proof of the second coming of Jesus in the recipe of cup noodles if looks for it hard enough".
Maybe to the German people the connection is more obvious, but for me despite having extensively studied political theory there is no self-evident connection.
The naming might be contentious and I agree with Lemon that "protection" might sound better. Not because of the alleged nazi references but because for their RP it will suit better, imho. Defending synthetics in addition to humanity hardly counts as "human purity".