although it says SI, that would be the same fork he already has (with a different paintjob). the one you posted has alloy dropouts, just like the premium ones that he has in his frame. the carbon dropout ones started at premium+, the SI ones had nothing else written on them (and the letters are filled, not just outlines - see https://www.lfgss.com/comments/14811731/)
Time manufactured Slice SI was introduced together with the Caad5, SI meaning it had an integrated headset. Premium/Premium+ came around 5 years later when they moved production offshore. So no, not the same fork. Chevron steerer weave, different crown mold, yada yada. Weighs ~400 uncut w/star nut.
although it says SI, that would be the same fork he already has (with a different paintjob). the one you posted has alloy dropouts, just like the premium ones that he has in his frame. the carbon dropout ones started at premium+, the SI ones had nothing else written on them (and the letters are filled, not just outlines - see https://www.lfgss.com/comments/14811731/)