Gosh. Are you living in the '60s? You had to do that if you had a VW with no oil filter only 2.5 quarts of oil... Things have changed. Oil is better, and oil filters really work. Toyota says your 0-20 synthetic can last upwards of 10,000 miles. So why did I change it at 3,000+ miles? It had been a year and a half since I changed it last. Retirement and Covid-19 really cut down on my driving, and oil can age as a factor of time, as well as miles. Some "experts" (perhaps funded by big oil) recommend you change it as often as every 4 months, regardless of the mileage. Right. But after 18 months, they might have a point. So I changed it. My 2010 still does not burn oil, at 134K miles. My "secret"? I try not to run the car just for short trips, as that's when the carbon builds up in the EGR system, and most engine wear occurs. I try to run it, when I do, for about an hour, so it can have a good bit of time all warmed up, doing a partial "Italian tune up". Geezer that I am, I also tend to not speed too much, and just go with the flow of the often congested traffic in my neck of the world, and this gentle pace also minimizes engine wear. YMMMV.
How did/does your EGR system look, then? (Especially the cooler.) My 2010 still isn't burning oil at 181,000 miles, either. Maybe you're on to something with oil life and the burning issue in the early-year Gen-3s. I've always changed my oil at least twice yearly, and never went more than 7200 miles, and have mostly highway miles.
I cleaned my EGR pipe last spring. It had a light layer of carbon on it, not enough to cause problems. So I didn't bother cleaning out the EGR cooler. Perhaps in about another 50K miles.
If you have time on your hands, I'd say you might just want to check your EGR cooler, and also the intake manifold. You may be surprised at the carbon build-up. The EGR pipe's build-up is usually a fraction of the build-up in the cooler and the IM--as it was in mine, too. It's easier to pop off the intake manifold, to take a look, since you don't need to remove the cowl/wipers/all that. The small EGR passages will show the level of build-up. You could be good another 50,000 miles. Hopefully. I learned about the EGR issue around 175,000 miles, and feel lucky that I did, as my EGR cooler was nearly completely clogged.
I would start w the egr pipe first. It will till you how clogged the rest of the egr circuit is to coordinate a trip to buy a cold 6 pack & rejoice after the cleanse.
i think you're on to something. since i stopped driving hv, when the engine comes on, it doesn't want to shut off. if i take her for a good hard drive, with lots of acceleration, that solves it.