Is organic compost beneficial without a proper environment?

Hey guys. I'm new to researching medium. .i.grew outside for three years and had fantastic results planting two week jiffy pots straight I to yard soil..After going indoors, feeding is far more complicated if you don't know what's in your medium and buy a cheap potting mix.

My question is this,

Will adding organic compost to sterilized Coco coir and peat moss be beneficial if I don't have an adequate microbial universe like a proper soil, or will it grow itself over time? I don't expect a super soil that will sustain my plant with nothing bar water, just a relatively rich blend that I only need to feed supplemental once or twice a week instead of every feed or two like Coco or raw potting mix. Something that requires only basic pH monitoring, and doesn't need to be ran off as often.

Another reason I was looking to stick with a compost/peat/coir and perlite mix (similar to terra professional)is that I have a shit ton of Canna Terra nutes here...i got 1L each base, and a mate gave me his 1L duo as he went organic. Reading the back it states that in a rich organic peat or coir mix, it only needs to be used once or twice a week, but in soilless mixes will need to be used daily, or every second day. It got me thinking, could i simplify my feeding with a semi enriched soil?

Am i wasting my time?

Forgot to add, I have a 25L bag of seedling mix (50/50 fine peat and Coco coir), 100L of organic compost From a mates farm (leaves, veggie scraps, chicken pasture shovelling's and mushroom compost) and a 50L bag of perlite. Was wondering if this would be a decent base to start off with compared to Bunnings potting mixes which seem to have large bark chips, fungus gnats, bits of chipboard and whole 4" sticks labelled as "premium potting mix".