I think the benefit comes from a multi-pronged approach. You fallow to relieve the initial weed pressure, use tenacity to prevent the next round at seed down, another round of tenacity at 30 days post germination, and at 60 days post germination you switch to prodiamine or dithiopyr. You may get some broad leaf weeds that are easily manageable with 2, 4-d or another broad spectrum herbicide, but most grassy weeds should be prevented.
I believe best fallowing practice is to speay roundup on existing grass/vegetation. Wait 2 weeks, do another round. Wait 2 more weeks, do.another round and seed next day. This provides three rounds of roundup and a thorough kill of the initial weeds.
The issue with the prairie grass it is doesn't appear to do well with either broad spectrum or preemergent herbicide. Because they didn't have this tool, a longer fallow period was required.
You will never maintain completely weed free soil. Bird droppings, your shoes, wind, pets, and kids can all bring weed seeds into a yard. Continuous preemergent use will help prevent their germination, as well as sound cultural practices and a healthy stand of turf.
@mmicha to answer the other question from earlier, sand can be used for leveling with minimal risk of weed introduction. It may be better after turf is established though.