About 6-8 years ago I grew too tired to write. I had three boys with varying diagnoses and a LOT of specialist appointments, a husband who was disabled, and not enough energy to go around.
I told myself I needed to concentrate on ways to make money and didn't have time to write. But over time I discovered something - the longer I went without writing, the harder it was to get back into it. So now I am working on a couple different projects and yes, still working. And I still have three kids (now teens and young adults) with lots of diagnoses and a husband who's disabled.
But I ended up taking a writing break for 6 long years, more like 8 since I wrote very little in the preceding two. And writing -- playing with my words -- it is life. Going without hurts me. It's like it clogs a part of my soul.
I might not share a lot of my writing these days (yet), but the simple act of journaling and free writing is something I can't do without. It's like breathing.
I like your idea of a small minimum goal - I've been doing that for a few weeks and it seems to be helping me.