None of that is about a reboot. It's the producers' priorities that would allow those things and those don't change automatically because they describe it as a reboot (see JJ trek), nor are they automatically the same because they use the word continuity. DSC was clearly originally conceived to have a *very* different style of main cast than ever before seen in Trek. Until the producers' priorities started shifting back towards the familiar again.
As for the technology, DSC already updated it, too. Some people complain, as will always be the case no matter what you do, but not rebooting doesn't in any way shackle them to 60s sci-fi technology and it never has.