Opponents are uncomfortable with the enthusiasm of the telecom companies over 5G without sufficient (they feel) long-term research on the health effects of saturating entire neighborhoods with millimeter-wave radiation 24/7. Residents of these areas will be exposed to this radiation whether they use it or not - there is no opt-out.
There is some quackery in this space (i.e. cures for "radiation sickness," etc.), but I don't consider it blameworthy to have caution concerning new technology in general, especially when the benefits of 5G to the consumer are so dubious. It seems to me like a push by the telecoms to re-implement wireless internet on their terms from the ground up in as many areas as they can before public opinion forces neutrality back on them again.
I also don't think they'll actually succeed (at least in America anyway), but mostly end up selling people the same product under the label "5G LTE" or something.