Drew, the bloke I bought my place off was an opal miner, away from home a lot, and used "liquid lawnmower" (Roundup) any time anything green grew, so I had a hard baked yard...6" below the surface was coal ash.
I turned it over the way my Dad had taught me, added organics, seeded and tamped and watered etc. every year for the first 3 or 4, and failed.
Read a book on pasture, from the local library, by a guy who was trying to work out how to maximise cattle production in Oz in the early 20th century, and he started by visiting stables in the UK that had been breeding racehorses (organically) for hundreds of years continuously....finding that they strive for not a monoculture, but 13 or thereabout species in their greenery for horse nutrition.
He put the following forward:
* In the early stages of stuff growing on soil, only stuff that grows sparsely with a deep tap root can get a hold. The early versions of this are thorny, as they can't afford to lose the results of their "effort" to animals...these penetrate and aerate, and allow water and atmospheric nitrogen into the soil. Once the have established, and had a few generations of seed and die off, there is more organic matter (deep tap roots), and the soil is more porous...if the soil was really rubbish, tall thistles grow.
* When the soil is "ready", leafy, non [censored] tap rooted plants grow, like dandelions. They behave like the thorny ones, but are doing better, and allow animals to feed on them...and urinate and defecate around them also (Read the other day that a scientist who lead the culling of 10s of thousands of elephants to prevent overgrazing has now repented, and believes that he created deserts by removing the animals)...
* After the dandelions have been through a few generations of die off, more leguminous things take over, and start fixing some nitrogen.
* when the soil is ready for it, grass will grow.
* If the soil depletes, it will revert back through the stages, and go through the next cycles again.
So I stopped killing the weeds, let the [censored] things grow, while I mowed regularly with a mulching mower (simulated grazing), and within a few months had a lovely patch of dandelions. Briefly had fleabane, or something ust like it, then a fleshy sappy groundcover, that my elkhound loved.
Then clover took over, and the next spring, grass took over interspersed with clover...depending on the year, there's more or less clover, and occasionally a flat weed or so, but they go by themselves.
I don't poison, don't mooculture, just mow, and I've got a green cushion that's kid friendly...not a lawn...a green mat.