If, even with that expectation, enough people still use "voice assistant" technology for a judge to consider the tech to be "in general public use"[1], the bright line test defined by Kyllo v United States is triggered and the police no longer need a warrant to use the technology (in the abstract - they don['t need to use your hardware) to view "details of a private home that would previously have been unknowable without physical intrusion"[2].
Normalizing the expectation that previously private areas (like the inside of your home) might be recorded and sent to a remote 3rd party will eventually result in everyone losing some of their 4th amendment protection against search and seizure.
[1] http://caselaw.findlaw.com/us-supreme-court/533/27.html
[2] Ibid.
It's like the misguided Prop 65 signs that are in practically every commercial building in California so instead of warning people about dangerous levels of hazardous chemicals, they get a meaningless sign in every building for hazards that are no worse than if they were walking down the street or sitting at home.