Any compost is a "social good" if it conserves energy, saves space
in landfills and returns some nutrients and organic matter to the
soil, whether for lawns, ornamental plantings, or vegetable gardens.
Compared to the fertilizer you would have purchased in its place,
any homemade compost will be a financial gain unless you buy
expensive motor-powered grinding equipment to produce only small
quantities.

Making compost is also a "personal good." For a few hours a year,
composting gets you outside with a manure fork in your hand, working
up a sweat. You intentionally participate in a natural cycle: the
endless rotation of carbon from air to organic matter in the form of
plants, to animals, and finally all of it back into soil. You can
observe the miraculous increase in plant and soil health that
happens when you intensify and enrich that cycle of carbon on land
under your control.

So any compost is good compost. But will it be good fertilizer?
Answering that question is a lot harder: it depends on so many
factors. The growth response you'll get from compost depends on what
went into the heap, on how much nitrate nitrogen was lost as ammonia
during decomposition, on how completely decomposition was allowed to
proceed, and how much nitrate nitrogen was created by microbes
during ripening.

The growth response from compost also depends on the soil's
temperature. Just like every other biological process, the nutrients
in compost only GROW the plant when they decompose in the soil and
are released. Where summer is hot, where the average of day and
night temperatures are high, where soil temperatures reach 80 degree