Started this after CMB. On the whole I would say CMB is much better, this does pick up in the last volumes. But yes much better than other trash-sekais out there.
Like how many people have already pointed out, most of his cases, he solves with conjecture, and somehow magically forces a culprit to confess. Very rarely in the initial volumes, does he attempt to bring in some hard evidence against a culprit. Most cases, if culprit just kept quiet and went to court, he may have been let go for 'reasonable doubt', one of the chapters regarding introduction of Jury duty highlights the same.
On another perspective, maybe the author wanted to show he was egotistical in the start, and didn't believe that he needed to backup his theories with hard evidence since he computed perfectly. Later on Kana's influence mellows(numbs? 😅) him down and he decides to bring in evidence to backup his theories so that 'normal' humans could understand it.