There is a definate difference in the set up for a TT v the bike leg of tri (even ignoring UCI regulations for TT bikes). Let’s start by looking at the nature of what the two disciplines entail:
TT: Maximum sustainable effort for normally a relatively short duration (1 hour or less). Fractions of a second can be significant. No running afterward. Speed are higher.
Bike Leg of a Tri: A metered out effort leaving enough in the tank to complete a running event immediately following it. Often just the bike leg of a tri is longer than a TT, much less looking at the combined duration of the whole event, thus effort leves need to be lower. Speeds are thus lower.
OK, keeping that in mind it is important to think about the strategy for maximum performance. In a TT the fastest way to ride a course is not actually at a steady pace. For example, going a bit over a sustainable effort on the climbs and slightly backing off the effort on the downhill sections leads to a faster time that keeping a perfectly steady output (due to the increase in velocity per unit engergy being higher on a climb where drag is less of a component than on a downhill where drag is effectively the only component, which goes up at a cubic rate, meaning you use more energy per unit increase in velocity). This means considering a position which can allow for higher torque loads needed for accelerations is important. In a tri, such efforts will come back to haunt you on the run, often leading to a slower combined run/bike.
Next, looking at not having to run off the bike means you don’t have to worry about the position’s effect on running for TT set up. Because of this you can close the acute angle at the hip down more than for tri. Because of this an athlete can stay further back on the bike, which can lead to a more aero position assuming the athlete has good ability to go deep into flexion at the hip. Given the higher speeds in time trials the added aero advantage is significant.
I’ve been lucky enough to set up the positions of some really fast time trialists and triathletes alike, and I can tell you that the positions some of those TT riders end up in are not ones you would ever want to consider trying to hold for any length of time, nor would you want to try to run from them.
As a side note, one area Slowman and I differ is in hip measurements when doing fittings - he looks at the obtuse hip angle and I concern myself with the acute angle, particularly for TT fitting when using up basically all of the athletes range of motion is important to reducing drag. We both see the merits of the other measurement - just different approaches.
This is the short, to too well explained answer to your question, but I hope it helps shed some light on the subject.