Yes, it does matter.
Recently there was a lot of valvetrain pictures here on BITOG with lots of varnish, despite using oils like Mobil 1 or other top shelf stuff from oil shelves at 5k intervals. Feel free to kill a couple hours in Photo Section if you'd like. The common denominator in all those cases were short trips.
Short trips WILL cause varnish issues, which lead to early death of variable valve timing components, timing chain components, and turbo shafts/bearings/seals, etc.
Valvoline ran two identical engines on synthetic and conventional. Same exact temperatures, conditions, and duty cycles for both engines. The engine ran on conventional was significantly more dirty and had to get an early turbo replacement, while synthetic kept the other engine cleaner and still on original turbo with same miles. Also seals on synthetic were still pliable.
How are you getting those 8k/year? Lots of short trips, or few long highway trips?