Yes, I would take transit to the grocery store if I needed to get somewhere that I could not reasonably walk or bike. You can actually leave the station once you get there, and even come back later. Perhaps with more than when you arrived.
I live on a road that started as a literal horse path by the original settlers. I am surrounded by 750k acres of National Forest. I live here to not be close to town. There is no situation in which public transit could reasonably service my area, which is fine! Don't let the perfect be the enemy of the good.
There is absolutely no reason there couldn't be a small shuttle that runs every half hour from the closest thing to a "main street" near you, to the nearest town / city that people depend on to survive. It doesn't have to be filled every pass. It can even be empty for most trips, as is evident if you go look out at your road right now, which probably goes most hours entirely unused. What matters is that it is reliable, accessible, and frequent enough to avoid needing to schedule your live around it.
This opens up the world to people who can't or won't drive near you. Which, like it or not, kids, disabled, and elderly people exist. Your town should be accessible to them too, and we (America) have the resources to make it happen.
Some kids in my area have bus rides of over an hour each way. There are dozens of school buses for the school. It's a huge tax cost.
You are out of your mind if you think this would be acceptable or even feasible for the average person, let alone the disabled or elderly.