Does taking lots of notes look bad in an interview? Got feedback that I seemed uninterested

Should I say any of this to the recruiter or just thank him for his time?

It doesn't appear that the recruiter was looking for your feedback, so it's best to just thank him for his time, put this one behind you and move on.

In case you didn't in this interview, you should always ask at the start of the interview if it is okay to take notes or not. Many interviewers don't like note-taking and just want you to listen, pay attention, and respond. Others don't care.

Should I say any of this to the recruiter or just thank him for his time?

The best thing to do is to move on to the next interviews or next companies.

Some people may thank the recruiters or companies after the rejections. (And, maybe, this depends on the industry.)

But, most people don't even need to thank the recruiters or the interviewers after the companies reject them. That is just how most of the business world operates. No hard or soft feeling on either side. It's just business.

Maybe, you can try to ask the recruiter why they think you seemed uninterested in the job. But, I highly doubt that he even replies to you. He is already moving on to the next applicants.

One thing I was wondering about was if I didn't spend enough time looking into the camera. I took a lot of notes...

You are right. Maybe, this somehow created the false impression that you were not interested in the job, unfortunately.

I would suggest 2 things:

1. You should try to maintain eye contact with the interviewers during the interview. This shows that you are focusing on the interview, and are listening to the interviewers.
2. You only need to remember the most important points given by the interviewers (without the need to manually take notes on paper or on computer). You don't need to memorize everything they say, and just need to focus on the key info. Furthermore, you don't need to write down on paper or computer everything they say.

One thing to keep in mind: while you certainly want to learn about the job and about your future opportunities with the company, your most immediate goal is for them to learn why they want to hire you. Taking excessive notes may distract you from that.

If you take more than a second or two every few minutes to scribble a three-word reminder to yourself, your attention is on the wrong thing. You can expand on those notes from memory after the interview.

If this takes enough time to slow your responses, your attention is on the wrong thing.

Looking away from the interviewer and seeming distracted does make building rapport harder, and does make you seem less excited about the opportunity. That actually was useful feedback. Work on improving it.

Move on, and chalk this up as a learning opportunity.

Taking notes was just fine. It sounds as if you'd have done better by prefacing the interviewer with the fact that you didn't have many details and would be taking notes. Your note-taking would have been more obvious in a face-to-face interview, but in a video interview you may have had the appearance that you were distracted with your eyes away from the webcam (as in reading something on your mobile phone). You could have said, occasionally, "I'm going to write that down," and maybe asked a few clarifying questions yourself.

Good luck on your next interview.

This was a virtual interview so it would be better to record it and engage fully with the interviewer(s) – which is part of the point of being interviewed – than to dilute your attention by taking notes. But you should ask them at the start whether they mind you recording it, and perhaps briefly explain why.

On the other hand, they want to assess all your skills, and if you must take notes, make them very brief key points to jog your memory later. This shows how you would act in a business meeting, where others will expect you to engage, and not wait while you document the proceedings. Showing inability to engage fully in a meeting may well count against you.

They also "found me uninterested with the work and the company". You "hadn't been given many details" so you should have spent more time asking than taking notes on what they said.