My new car has lane keep assist and AEB and I haven't had these issues. From what I hear it's very much to do with a maker's implementation (mine is Hyundai, who for various reasons seems to have a bad reputation in North America but a good one in Australia). For the lane keep assist I feel a nudge but it's extremely easy to overcome just through a normal grip on the wheel - if I don't budge it won't move. It's been an issue near construction sometimes but also some wider merges where 2 lanes become one (the markings in Canberra seem to confuse it, but not Sydney) so it does depends a lot on road conditions, but as I say it's annoying at most and I wouldn't call it dangerous in my car and it helps more than it hinders.
For AEB, the same system is used in the adaptive cruise control and it's been near perfect. One funny thing was that it just alarmed and fully died in outback Victoria - apparently it is coded to do this as a fail-safe if it hasn't detected a car for a long time due to the system potentially not working. The service centre employee said Hyundai are working on a patch to extend the timeout since it's a little low for country Australian roads (approximately an hour at the moment I think).
For AEB, the same system is used in the adaptive cruise control and it's been near perfect. One funny thing was that it just alarmed and fully died in outback Victoria - apparently it is coded to do this as a fail-safe if it hasn't detected a car for a long time due to the system potentially not working. The service centre employee said Hyundai are working on a patch to extend the timeout since it's a little low for country Australian roads (approximately an hour at the moment I think).