Loincloth Cat has pretty low health and attack damage compared to other Awakened enemies. It has slightly slower movement speed than its cat counterpart, but attack rate is 3 times faster and has a very long attack range.
Any wave attacker that can reach Loincloth Cat will be very good against Loincloth Cat (this is apparent in Floor 28). Some examples are Manic Macho Legs, Wonder MOMOCO, Slime Cat and more. Just note that the wave attacker that you are using HAS to have a Wave Attack level higher than 4. Otherwise, the wave will not be able to reach Loincloth Cat. Other cats that will work are cats with an extremely high range, like Super Galaxy Cosmo, or cats that have a very high effective Long Distance range, like Radiant Aphrodite. However, some such cats may need a stepping stone to reach Loincloth Cat.