Is 'as' needed?

No. 'As' is a mistake.

Thanks, Tes yeux noirs.

Depends, Tang, on exact meaning. For instance if "Tsukimaro" is not a gal's name but a concept or disease, then you need the "as"

Whoever would name his daughter as a disease?

You name something or someone like this:

I name this ship Conqueror.
I named my dog Spike.
We named our daughter Rosemary.

Not an 'as' in sight. However, I believe Americans sometimes use the verb 'to name' in the sense of 'to appoint to a post' for example 'President Obama named Merrick Garland as his nominee for the Supreme Court on Wednesday'. (NY Daily Post); 'Canadian Elizabeth Denham has been named as the UK's next Information Commissioner', (The Register)

https://www.wordnik.com/lists/diseases-that-make-lovely-baby-girls-names

That list is sick.

...named his daughter, Tsukimaro.

Who would want to marry a woman having the first name of "PIMPLES"?

Alas Tut, please see my #....925 above