It's not a terrible logic at all, eliminate Betazoids, maybe there was a Betazoid on the crew of the Equinox, who found something that made Ransom take a different route that didn't encounter the Kazon...
Eliminate Betazoids and you eliminate Troi (good riddance you might say) but that would have a knock on effect on Riker early in his career...maybe he met someone else? Or decided to captain the Aries? Or captain Voyager? He might have been killed on the Melbourne at Wolf 359, Picard might have died a drone...all the Federation might have been assimilated, which might have led to the Borg expanding in the DQ and the Kazon being assimilated...
And we're talking about eliminating Voyager here (which is what the Krenim are trying to do) You eliminate Janeway and maybe Admiral Paris dies in a Cardassian Prison Camp? Eliminate Chakotay and maybe Ro Laren doesn't defect to the Maquis in 2370. Eliminate Neelix and Kes is kept enslaved by the Kazon. Eliminate the Doctor and Lewis Zimmerman will die in 2377, Species 8472 overrun the Delta Quadrant in 2375 and the Prometheus will be highjacked by the Romulans in 2376...
Eliminate Voyager and the Kazon will take over the Caretakers' Array, we know that they had dealings with Neelix prior to 2371 so what change could that have?
Eliminate just Paris, and Voyager might have taken a different route through the Badlands and avoided being pulled into the DQ...
Eliminate Betazoids and you eliminate Troi (good riddance you might say) but that would have a knock on effect on Riker early in his career...maybe he met someone else? Or decided to captain the Aries? Or captain Voyager? He might have been killed on the Melbourne at Wolf 359, Picard might have died a drone...all the Federation might have been assimilated, which might have led to the Borg expanding in the DQ and the Kazon being assimilated...
And we're talking about eliminating Voyager here (which is what the Krenim are trying to do) You eliminate Janeway and maybe Admiral Paris dies in a Cardassian Prison Camp? Eliminate Chakotay and maybe Ro Laren doesn't defect to the Maquis in 2370. Eliminate Neelix and Kes is kept enslaved by the Kazon. Eliminate the Doctor and Lewis Zimmerman will die in 2377, Species 8472 overrun the Delta Quadrant in 2375 and the Prometheus will be highjacked by the Romulans in 2376...
Eliminate Voyager and the Kazon will take over the Caretakers' Array, we know that they had dealings with Neelix prior to 2371 so what change could that have?
Eliminate just Paris, and Voyager might have taken a different route through the Badlands and avoided being pulled into the DQ...