I always think it's crazy to expect humans to function properly without exercise. We see the problems in all other animals when they become sedentary below the level that they would historically be expected to do. Yet somehow some people seem to think we are an exception to this rule.
My comment was primarily from personal experience. When I did my anaerobic exercise when I used to train, it was heavily anaerobic, where I would do a lot of short bursts of heavy lifting. Later I transitioned to primarily focus on aerobic, where I did a lot of distance swimming. So I think I had a good amount of both extremes to at least provide some insights. Everyone's experience will likely be slightly different.
My hunch, though, is a lot of people who do lifting still get aerobic benefits because they're not training as intensely. So I think I'm speaking more about the extremes of the two types of exercise and not a middle ground.
My hunch, given my distant past life as an athlete, is that the correlation is with aerobic exercise and not anaerobic.