I don't see DSC synched with TOS after the season 2 final. I had no problem with the existence of a spore drive or a sister for Spock. The spore drive was not free from multiple side effects and Spock not even mentioned that Sarek and Amande are his parents when they stood in front of him and Kirk in "Journey to Babel". He also says nothing about his relation to Sybok in "The Final Frontier".
Far more problematic for me are the existence of repair robots, 100 auxiliary vessels per starship, photorealistic holograms almost everewhere, forcefield tunnels and spheres, klingon cloaking devices while Kirk already serves in Starfleet, unfolding EV suits and gigantic equipment, advanced signal technology which works across thousends of light-years and so on. There is enough technology which should not be exclusive to the Discovery and don't match the TOS era. At least from my point of view. In combination with the changed aesthetics DSC and its high-technology environment appears to be a full reboot and not just a "visual reboot". So the attempts to "synch" some of DSCs plot with prime universe TOS seems unnecessary because there are to much other discrepancies that will not corrected.
I think there is a kind of naiveté to Star Trek about manual work. At least in regard of the 22nd and 23rd century. Yes, of course repair robots, forcefields in all thinkable shapes and self-unfolding equipment are very convenient things. But in Star Trek there seems to be a kind philosophy that you take away something when you let technology do all the work which also can be done manually. That's something I cannot see in DSC due to advanced technology in use.