I’ve been doing throw and mow only for six years with ever improving results. I have added lime(pelletized because my property needs neither justify the quantity demanded for a buggy and I don’t have a tractor). I have about 1.5acres total over 5 little plots so this works well for me. I never clear the table. Something is growing all the time in my plots.
I take regular soil samples to check progress and I keep printed copies in a notebook, arranged by plot, with notes on what I added, when and how much. My rotation is cereals and clovers in late October or November, mow over existing plot to cover. Chicory early spring broadcast into cereals. Just planted Alyce clover, joint vetch and sunn hemp a couple weeks ago. I plan to cut the hemp off to knee or waist height with my commercial hedge clippers a couple times(this is only in one 0.3ac plot.
I struggle with brassicas since they need to be planted in August or early September and it’s either super dry or the army worms get them.

There’s a great series of videos from Green Cover seeds that feature a lady scientist from Australia which covers a lot of science regarding nutrients and farming(plotting). Perhaps the most enlightening for the question in this thread is the episode on phosphorus, the Phosphorus Paradox I think it’s titled. Great discussion on how living soils make nutrients available without artificial inputs.