Is there a neutral/love route in the game?

Yes, there is a neutral or love route available.

What can you expect from the NTS route in terms of writing and visuals?

The NTS route has a pretty good start with well-done writing and visuals.

In Chapter 3, you can have Zoe's friend kiss her.
During the celebration party in Chapter 3, there are insinuations of NTR (Not-Yourself Relationship) scenarios. Pay attention to interactions where Zoe may be spending time with other characters.
Zoe might act distant and unresponsive during a party argument, suggesting she is prioritizing another character over you.
During the dare game, Zoe attempts to help you get your girlfriend to send a sexy selfie but ends up sending it to someone else instead.
Be cautious of text messages that reveal Zoe may have been interacting with other characters in ways not disclosed to you.