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Is it good to prepare slides to present during the video chat even if the search committee say you don't need to prepare slides?

Before we decide to bring faculty candidates to on campus interviews, we would like the search committee or department head to have met the candidate before. This used to happen primarily at the major conferences in our field for any candidates that we did not already know. Now it can sometimes happen alternatively in videoconference interviews. These will generally last about 30 minutes, but are planned a bit longer in case things go really well.

You should absolutely not have slides prepared, and you should not be tempted to refer to slides to answer questions. The goal here is to see how you interact spontaneously with other academics, how you talk about your research, how you talk about your career goals, etc. We are absolutely not interested in a canned presentation. In fact, we would prefer that your answers do not sound too well "rehearsed" or "coached" at all!

In addition to the other, quite correct, answers, here is another perspective:

It is very unwise to disregard the clear instructions of the search committee. Even on a minor topic, this sort of behavior can reflect quite negatively on the candidate.

No. I have done eight Skype interviews, and I have never been in a situation where I would need or want slides. I am probably not in your field, but I don’t think my experience is unusual.

It is a better use of your time to practice your answers to common interview questions. Make them succinct and compelling. Also prepare short ideas on teaching every class mentioned in the job ad. Finally, learn about the department and have lots of questions for them.

The only time I was asked to present slides was in followup onsite interviews. During the initial Skype interviews, I have never been asked to present slides.

The initial Skype interviews are, in my opinion, usually just to get a little more information about your background and to get a feel how well you communicate your field of work. In an academic setting, this is important, because your ability to clearly communicate your work is highly correlated to success in teaching, filing grant applications, etc...

I've had tenure-track faculty Skype interviews that included PowerPoint presentations, and ones that didn't. I recommend you follow their instructions. In this case, they are not necessary. If there's something highly technical that you need to refer to, you could share your screen with them, but it's probably not advisable. It's not a job talk. Instead, this is an opportunity to demonstrate how to communicate your research and teaching in everyday language.