Ran of course saw familiarity in Conan and Catastrophe. Eventually, enough interaction with the bakeneko to realize that he reminded her greatly of Shinichi. It wasn't a sudden realization; more subconscious, something she didn't realized she'd really realized until she began to really ponder. It also was nothing concrete— nothing for her to even have the barest flutter of a thought that they may be the same, even— just simple tics, reactions, and diction.

It was certainly odd; when Catastrophe broke his lonely seeming, self-imposed silence, he talked differently frequently. One facet of his personality was that of mysticism, the other of deductions, with dry wit in the center. Often they combined rather than being wholly separate, but still when Conan leaned on the latter two, Ran caught vague flashes of Shinichi; the deductions, his sarcasm, even the Shinichi-patented look were all similar.

And yet her mind still didn't connect anything— for several reasons. The first was though she was reminded of Shinichi briefly sometimes, Conan would just as often say something mystical or mischievous not at all in tone with Shinichi's personality. Thanks to Shinichi's acting (taught courtesy of his mother) the two had wholly distinct personalities; any similarities were, to her, just the usual familiarities one has in seeing pieces of other people manifesting in someone else. Internally, she joked to herself that all detectives were similar, and liked to imagine scenarios in which Shinichi and this strange creature occupied space together, interacting.

It made Ran laugh, really; after Shinichi's utter disbelief was gotten over, she could imagine Conan and Shinichi instantly becoming the best of friends or rivals. They both had the same interests and were highly intelligent, which were both points for the friendship scenario— but their pride and general sharp, rude sarcasm were points towards rivals… potentially bitter rivals, or potentially more friendly.

Ran wondered briefly what Conan would say if she proposed a meet-up. Truthfully, she was dying to prove the supernatural to Shinichi, if only to rub his face in it and see his mind completely blown… seeing the pair of odd detectives interact would only be a bonus.

...Granted, that was a mere fantasy; Ran knew why it would be unlikely to happen do to Conan's secrecy… but it was still great fun to imagine.