I will offer this opinion:
Limestone screenings here are the chips and dust that fall thru the screens when crushed limestone is graded. We can get them at the quarry here, and the materiel ranges from powder-fine dust to chips as large as a dime. I think that "chips" are screened further to remove the dust, but I cannot swear to that.
Agricultural limestone is very fine; the ag people tell us that the finer the particles the quicker it can be taken up by plants. This of course is true since the lime must be dissolved by soil acids before it can be used by vegetation.
Now here is my experience: I have used dolomitic limestone powder as sold by Walmart, ag lime as sold by agricultural limestone firms who spread it on the land and "screenings" straight from the quarry. The Walmart dolomite and the ag lime disappear in a season; you cannot find a trace of anything that looks like limestone but the effects are there in the soil. I'm told by the ag. experts that the effect lasts for about five years.
The "screenings" disappear a bit more slowly. The dust is gone very quickly but you can find the pebbles, the chips, for some time. The time depends upon the acidity of the soil Here on my moderately acid soil I can find larger pebbles for several years, but of course the plants are taking up any lime that dissolves from them. In a garden I had years back in Tulsa I had mulched with several loads of oak leaves. I spread a whole pickup truck load of screenings on that 30 by 50 foot garden and the next year I could find no trace of the screenings. Made a good garden of it.
My belief is that, if we assume that the lime analysis of the stone and dust are the same, you could spread limestone rock as big as a house and the effects would be no different; the lime would dissolve as fast as soil acids could take it, no more, no less. If you need it fast, use the dust-fine powder, but screenings will do the job.
Ox