True synthetics are hard to find now for one main reason...Mobil lost their lawsuit against other oil companies like Castrol and Pennzoil and such.
I'm excluding RP, Amsoil, Redline, and I'm only refering to common over the counter oils.
Up until about 1 year ago, Mobil 1 was the only true synthetic available at most stores. The others were advertising "hydrocracked" dino oils as fully sythetic since they had done some work on them. Mobil sued saying they could not call their oils synthetic. Mobil lost. Now I'm unsure of any oil company that makes pure sythetic because I think (though not sure) that mobil said to themselves "why make a synthetic when no one else is and still calling it synthetic?" I know they have a few still fully synthetic oils out there like their 0w40. When Mobil 1 lost the suit many Euro car owners were worried about Mobil not making high end synthetics anymore. Mobil also changed the classification (like SL, SJ, etc) of their 10w30 after they lost the suit, which leads me to believe it is no longer pure synthetic. 0w40 still has their old pure synthetic oil codes on it IIRC. I spent about 2 months researching this but once I decided to stay with Mobil 1, I stopped worrying about it.
I use the 0w40 for my Volvo, mainly because it is fully synthetic (to the best of my research) and because I live in New England. the engine is a small turbo charged engine and getting oil to the turbo at low temperatures is key as is the oil being able to maintain high temperature life because of the stress of the turbo. I use Mobil synthetic 10w30 on all my other engines with no complaints at all.
Remember, all of that does not apply to RP, AMS, Redline. As far as I am aware, their products are still purely synthetic.
Big advantage of sythetic, lower cost. You can extend the oil changes and it should also help reduce wear, especially at start up. Take my Volvo engine. When I bought it with 50k miles on it, it was using dino oil. After 3000 miles the oil would be ready for a change (looking at color as viscosity). When I went to 0w40 synthetic, at 5k the oil still looks okay and has good vicosity (looks like it could take about 1000-2000 miles easily). I just change at 5k miles to keep things simple and lined up with my service checks.
Slade