I was a big Trekkie when I was younger...but I'm surprised at how poorly the show has held up when rewatching on Netflix. I think what spoiled me was the revamped Battlestar Galactica. It's not the dated special effects that bother me, it's the way the utopia of Star Trek's future and technology began to provide way too many plot crutches. By the end of TNG, it seemed like every crisis resolution involved reversing the polarity of some piece of equipment or weapon at the last minute. DS9 was my favorite series up until the latter seasons, where again, fancy technobabble would save the day over well-written plots. I never watched much of Voyager or Enterprise...but it seemed the technobabble only increased, with time travel being thrown in for variety. With Voyager, the absurdity of tech continued from the beginning...IIRC, even though Voyager was banished in the middle of nowhere with purportedly limited resources, some technicality about how the holodeck worked allowed them to basically use the holodeck all the time, as if it ran on magic and dreams (which is basically what the holodeck stood for in all the new series). Even the utopian future of no-currency was rendered a bit absurd with DS9 and the introduction of Ferengi as main characters, and constant mentions of "gold-press latinum"
BSG spoiled me because it showed, credibly that a space-faring future is unlikely to be clean and sanitized. I think one of my favorite aspects of BSG were the mundane ones, such as how having everyone spread out on different ships hampered logistics and communications. In Star Trek, of course, this was solved with instant communication devices, though the impact of instant communication in TNG-and-on seems rather limited compared to what we experience in the Internet-age.
Since the OP states that the new series shares the same writers as the rebooted movies, I'm assuming that the altered timeline will be adopted by the new TV series? The reboot Star Trek films were flashy and entertaining in the way that modern action films are entertaining...but they took up the technology-as-deus-ex-machina to the next level...Scotty created a teleportation device that rendered starship travel moot and, of course, life-giving Tribbles.