When you develop and approve additive packages, like Mobil does, you need an ASTM certified lab. The thing is, these labs belong to the additive arm of the company (Infineum), not the blender arm. Since Valvoline doesn't develop additive packages and don't have a separate arm that does, their lab is owned by their blender arm, which is how they get away with that claim.
It's not the expense. Mobil's net income was $36 billion on $344.6 billion in revenues in 2023. This compares to $424 million in net income for Valvoline, on $1.24 billion in revenues for 2022. Mobil NET's 30x Valvoline's total revenues, buying Valvoline, whose total assets are $3.44 billion (and Saudi Aramco bought them for $2.65 billion), would be a rounding error on Mobil's balance sheet. Mobil wasted 10x that on their GTL plant they abandoned.