Really good discussion topic and I feel a very important part of new car ownership. I'd extend this further than simply engine run in procedure though as the first engine oil change timing along with engine oil spec complete the run in cycle. In addition, it's important not to overlook gearbox and rear diff. Bed in also applies to transmissions, as does the first gear oil change timing and gear oil specs for gearbox and rear diff.
I can't tell you what oils the GR86 leaves the factory with, and I very much doubt your Toyota dealer or even TGB could confirm the exact data for this. I think it's a fair assumption, and it's only that, the factory send the cars with engine and gear oils to aid run in/bed in. So, if this is the case, they should be replaced with optimum spec oils as soon as possible, following completion of run in/bed in. Oil manufacturers produce a whole array of oil specs to suit a whole array of applications. For example, engine run in oils. How does an engine run in oil differ to say an optimum engine oil for the GR86 - The dedicated competition engine run in oil we use for our high power engine builds is a mineral oil, and the oil manufacturer recommends an engine should only run for up to 4 hours on this. It serves a purpose, but once that purpose has been achieved, it must be replaced, and we replace with a high performance fully synthetic oil of the correct viscosity and specification. This is an extreme example, but still relevant in that engine run in procedure should be in line with the overall quality of an engine assembly. Very accurately assembled engines, accurate clearances etc require less run in, and with correct maintenance will typically prove more durable. Toyota have the worlds most powerful production 3 cylinder engine, the G16E-GTS engine used in the GR Yaris and GR Corolla. I replaced the engine oil in my GR Yaris @ 100 miles, using Ravenol USVO 0W-20 GF-6A. Another 4,000 miles later and with another couple more Ravenol engine oil changes during that time, engine performance and reliability was spot on. Technology, engine design, materials/component strength, advances in oil technology and engine assembly process and accuracy have reduced the need for lengthy run in/bed in. In the case of modern engines, you are essentially seating piston rings to cylinder walls. Manufacturers use cylinder honing processes and tooling to accelerate this too.