Nope. A new show can indeed win hearts more than the original. Maybe at the time it is first aired. Maybe years later, something goes *click* - like that cuckoo clock on the wall where all of a sudden you hear the click but no birdie pops out to heckle you one to twelve times as you gawk at it pondering why there's no 24-hour mode available or at least grateful that this particular clock lacks it...
I grew up with TOS. It's still good and iconic in its own rights as well as a taut militaristic style, but later warmed to TNG. It eventually was my favorite. DS9 came in, but the stylistic and tonal "soft reboot" for season 4 made me an avid viewer and when I looked back to revisit its earlier seasons, it wone me over as the best revival of the TOS format as it feels like a more edgy version of TOS, which is something TNG would and could not be. Indeed, TNG's style always came across as tweaks of the style used for "The Cage" with more cerebral stories.
I still seem to revisit TNG seasons 2-4 the most, but DS9 had some of the best stories and running arcs, and Sisko is my favorite captain because he's Kirk on steroids and having to make the biggest decisions that no other Starfleet commander had to deal with onscreen.