It might be wise to moderate that position by also objecting to people taking pleasure in seeing/causing the suffering of animals. You may not care about the experience of those animals, but you should still care what effect it has on the human who indulges that side of themselves.
Similarly you should also care that humans are not excessively exposed to scenes of "necessary" animal suffering, whether that be abattoir workers or veterinarians. Having psychological counselling mandated and freely available for these professions would be an ethical improvement for the world even if it didn't reduce the amount of animal suffering at all.