i don't exactly have any favorite name puns/meanings... but i can explain 2winks, as for quite a long time people were unsure if they held any meaning, especially since they are rendered in hiragana rather than kanji!

hinata's arguable the more "easy" one to understand; "hinata" as a word means "sunny spot" (日向, hinata), which is also an informal nickname for "sunflower. his name has been referenced to have a connection to sunflowers since Strawberry Colored Holiday, where he points out that his name (written in kanji) backwards spells out "sunflower" (向日葵, himawari). but through his name and theming, there's a big emphasis on the "hi", 日, the sun.

Twin Peaks - division by zero 6
Hinata: Because I’m “Hinata”. I’m sure I was given that name in hopes I’d be cheerful and forward-facing, just like a sunflower. And… I want to live up to that name.

then we have yuuta. i personally believe that in contrast to hinata's 日 (hi), yuuta is 夕 (yuu); evening! it lines up really well with hinata's dual theming of "daybreak" and "dusk", the "sun" and the "moon".

Twin Peaks - division by zero 6
Hinata: And you, Yuuta-kun, you’re a single ray of light shining in the complete darkness. A light of hope that returns all minuses to zero.
Hinata: And with it, you shine a light into our muddled past. You bring light to what’s hiding in the darkness, and erase them, one by one.
Hinata: A child born of the dusk (夕暮れ, yuugure) that colors beautifully the moment before the world turns to pure darkness.

aaaaand as a bonus, i want to bring up esu's name. what an absolute joy of a name. it's not really a meaning or a pun thing i just am finding it highly entertaining

he has what he describes as a "kirakira name"; essentially the japanese version of the familiar phenomenon of opting for "unique" sounding names and spellings.

his name is spelt with the kanji 笑主, two absolutely ridiculous kanji to use for a name (kanji for laugh/smile & kanji for lord/master).

and then its read as "e" and "su", esu. "e" is an uncommon reading of 笑, and "su" is an uncommon reading of 主... it does NOT come naturally, at ALL

and THEN! on top of that. we are facing the possibility, especially with the katakanasization of their names & evidence that esupuri's official romanization might really be "SPuri", that he was also named "esu" for it to mean the letter "S". because in his 4piece introduction where he raps, he uses words that start with an s, "style" and "smile", spelled from an "s" (esu).

my sweet son, s.