I used various brands and never had problems. In my experience batteries typically last 5-8 years, never had any die after 2 or 3 years. Many people who have bad experiences with certain brands can probably be attributed to a vehicle with charging/voltage/cable issues. Or they bought a battery...
Hyundai shares the 2.4l engine design with chrysler and mitsubishi, although each manufacture it separately to their own specs. I have seen forum posts saying the pistons and rods interchange between hyundai and mitsubishi but the blocks have some differences. All turbo engines are harder on oil...
I see too much speculation and not enough real prices in this thread. If the mechanic shop is big enough they get bulk delivery. The latest price list I have is from 2016 in the new jersey area but should give you an idea. If a shop is buying oil at retail shops they won't make any profit...