Exactly, that was my point and I thought that would be understood by someone in the domain. Same for HFT vs "electronic" in general, again someone in the domain would get that distinction immediately.
Latency-arb is a small part of HFT, if you consider strategies that provide liquidity to be "good HFT" and strategies that take liquidity (via latency arb or other arbs) to be "bad HFT" then those strategies are largely executed by the same market participants.