Welcome to the forum.

Where is your wife working? Because it might be a long commute if it's in Neuchatel.

Yes your wife gets the same permit as you so I think her employer would need to check with the cantonal migration office whether they would be able to keep her on. L dependent permit holders don't have the right to work, the employer has to meet certain labour and market conditions. She must also have a university degree. From the Foreign Nationals Act:

"Family members of a holder of a short-term residence permit (Article 26 OASA) do not enjoy the right to exercise a lucrative activity. The exercise of a lucrative activity is subject to authorization. Upon admission, a request from the employer respecting the remuneration and working conditions in use in the locality and branch must have been submitted. In addition, members of the family of a holder of a short-stay permit (Article 26 OASA) must have professional qualifications (personal qualifications, Article 23 LEtr)."

Since she's already working her employer needs to check whether a change in permit would bring that into force or not.