Have you got a race setup with not high left rear tyre?This is TIME TRIAL thats why. You can't just stick a time trial setup and expect it to work with fuel and tyre simulation in career mode, it will need a complete retweaking for that,
Time trial does not have tyres that wear, it has the lowest fuel possible, and theres no such thing as track evolution. Also the fact that I used assists to get my time, and you're not using assists. Also your using a Toro Rosso, while I used a Mclaren, cars have slightly different feels to them.