Not necessarily, it may or may not be ace in the lesbian situation too but there’s not enough information to go off.

All that asexual means is not being attracted to others sexually, it has nothing inherently to do with not wanting sex just that it wouldn’t be for the reason that an asexual person is sexually attracted to the person or people they have sex with but wanting or enjoying it for other reasons unrelated to sexual attraction.

Of course asexuals can also be sex repulsed, sex indifferent or sex favourable, but that is different to whether they are attracted to anybody or not.

There are also different kinds of attraction that aren’t sexual in nature, see the split attraction model for more information.

Source: I am ace-spec (on the asexual spectrum) and most of my partners are some flavour of ace.