Not trying to pick on you here but I bet you would also do well in the garden directly, without the need for a bin, bought worms or doing it indoors. I guess that's more of a 'how to do composting if you don't actually have a garden' technique.
Not sure what conventional composting is, if not 'throw it all onto a pile and let it do its thing' ;) That's how my parents and all our neighbors did it too.
I definitely don't bother with ratios. I only learned about those very recently actually. As mentioned, it sometimes gets hot, sometimes it doesn't. When it does I guess I got the right ratio by 'accident' .
As in, in fall there's a lot of brown matter added from the leaves, in winter it eventually freezes (but I keep piling on the green matter from all the bananas, oranges, potato peels etc.) while most of the immediately 'active' green matter is added during spring and summer and it eventually reaches the perfect ratio as I keep turning the pile and I get periods of 'hot composting'. The worms probably don't like it at all when it starts smoking lol.
In between I bet most of the work is done by the worms that naturally occur in the soil and love feasting on all this organic matter. Naturally occurring fungi will also help I bet. We get lots of different kinds of mushrooms in the lawn at different times of the year.