It is funny, cause Other World being timeless actually affect Goku, as it is implied that due to the nature of the Living Realm being temporal world, he using SSJ3 consume his time limit in Living Realm while using SSJ3 in Otherworld mean nothing, so that mean, timeless nature of Otherworld did affect thing, just that the verse do not go super duper about it effects
We should remember that trying to demonstrate a truly timeless realm is almost impossible, even verse like The Elder Scrolls where they have super duper level of detail statement about how timeless vs having time work, have a hard time demonstrate this shit