But the point is, nobody would have known whether Varley was missing or not - neither Picard nor Starfleet HQ big brass. In general, it's more than half a year before Starfleet starts to worry about ships it hasn't heard of, both in TOS and TNG (say, the Exeter and the Drake).
So Ransom wouldn't have been listed as missing merely because he had been silent for less than a year. (We don't know the exact timeline, although Memory Alpha has some weird speculation about asteroid belts and whatnot that has no clear basis in the dialogue of "Equinox"...)
Also, I disagree that Janeway would have been particularly interested in Ransom's career. She "hoped" to meet the guy one day - but she had never made any effort to do so, apparently.
As for that turbolift conversation in "State of Flux", ships that had disappeared elsewhere would not interest Janeway. Based on what she had learned in the pilot episode, she had reason to think that the Caretaker had been sweeping up ships from the Badlands, not from anywhere else. If the Hera disappeared elsewhere, there would be no good reason to think she had ended up in the Delta Quadrant. Janeway might just as well wonder if Jimmy Hoffa was sending them signals, if she started associating every disappearance with Starfleet presence in Delta.
Really, dozens of ships probably disappear every year. Chakotay would have been dead wrong in stating that there were no disappearances within, say, five years of the last time he had the opportunity to look at Starfleet records. Only a limited subset of disappearances could be the concern here, then.
Timo Saloniemi