> Why is being able to effectively search for for answers not considered good problem solving?
Memorizing interview questions is decidedly not "effectively searching for answers".
Effectively searching for answers requires breaking the problem down into separate pieces that you can actually search for. This is one of the skills that can actually be demonstrated during the interview. And then showing that you can also come up with the solution (or be guided towards it in discussion with the interviewer) is the natural way to round it out, instead of "ok, now google for this sub-problem while I'm watching you".
Memorizing interview questions is decidedly not "effectively searching for answers".
Effectively searching for answers requires breaking the problem down into separate pieces that you can actually search for. This is one of the skills that can actually be demonstrated during the interview. And then showing that you can also come up with the solution (or be guided towards it in discussion with the interviewer) is the natural way to round it out, instead of "ok, now google for this sub-problem while I'm watching you".