For me, at least, cutting the grass is a rather meditative activity where I'm sorta in nature - enjoying a relatively nice day (I avoid cutting grass when it's raining because why would you ever do that). None of my troubles are in view (unless the exterior needs work) so I can relax and enjoy it. Compare that to vacuuming where you're within your space but aware of the fact that things are messy - potentially needing to contend with children or pets to actually get vacuuming done, and frequently shifting furniture and thinking about how to finish off the task in the quickest manner.
To me mowing the lawn is an activity where my mind can disengage apart from watching for the occasional suicidal squirrel - while vacuuming is an activity where my brain is constantly on the watch for something being amiss and me accidentally chewing up an expensive cable or rug.
This all aligns closely with what I think the distinction is for tasks that allow you to be creative - something relatively straightforward that requires your hands to be busy but where you can mostly zone out. For this purpose I like eating "slow fruit" namely pomegranates and grapefruits - where I take both fruits apart laboriously by hand after peeling them (eat the grapefruit like an orange - but peel each slice). While I'm doing this my mind is free to do whatever and my hands continue with only minimal guidance.