If court appointed attorneys’ fees are only based on the time they appear in court, they are set up to fail their clients. Under that system, there is no way court appointed lawyers can zealously defend their clients. Important work is performed outside the courtroom and court appointed lawyers should be compensated for that. Reviewing the evidence, doing legal research, drafting motions with supporting memorandum of law is the crux of good lawyering. If you can’t do this then it is very doubtful you can be effective in court.