Where on earth did you get the 13.8 1/4 time from?
They are quite common round here, and Iv seen at least 3 diffent engines in them. (all stock)
But most common seems to be the 3stge, or a 4agze.
But Iv seen a few N/A ones as well.
A more acurate 1/4 time would be mid 16s, they are heavy, and with gears more set up for crusing then racing. Sort of Toyotas answer to the GT legacys for the Japanese market.