I used Valvoline Maxlife (red bottle), Valvoline Import (blue bottle) and Castrol Import MV in my daughters 2008 Elantra...all worked great. I don't think the SP-III spec. is so unique that 'multi vehicle' ATFs will hurt.
OTOH, I stick with Mazda FZ approved (blue fluid) in her Mazda CX-30 (I've done 2 D&R's with Aisin's version) because there is much debate on whether Valvoline Maxlife type replacements would cause issues? I've read on this site that Mazda would deny warranty if the fluid is red on a failed unit?