If you have a toe injury or plantar fascia issues then the stiffer spike plate would reduce the strain on these regions.
Adidas did testing on their spike plates and determined that a stiffer plate was good for 1 or 2 hundredths of a second in the 100m. Donavon wore them for a while. (before his comeback from achilles tendon rupture)
The problem with a stiffer plate is more strain on the calfs and Achilles tendon. So, if you have an issue with calf strains then buy the Asics shoe. If not, then it is personal preference, really.