Traditional concrete cylinder testing was developed to check the properties of the mix and has no real relationship to the actual strength of the concrete in place or the properties of the product made.
The bottom line is the conditions the concrete was exposed to and how the accelerating energy was distributed within the concrete, considering the heat transfer and the mass.
In a repetitive situation for commonly produced products (flat slabs, tees, columns, etc.), there is noting better than the PCI certification of the plant that goes far beyond the quick testing "snap shot" of the strength at a given time. The professionalism of the PCI requirements and enforcement is far beyond what you find in field produced construction.
If you are out of the realm of the PCI certification or doing on site work, cylinders are good indication, but matched curing provides a means to fine tune the results. Accelerated curing is affected by the mass/volume/shape/heat transfer of the products created. Established plants have found that the controls and records required for certification are necessary from a reliability, quality and cost standpoint.
Dick