Could be part of that same reboot canon. Look at Chekov's hair, and the fact that he's two years older now....It would be a reboot canon if you changed the ethnicities of the original characters...
And we ALREADY have a reboot canon with Trek XI and Greenwood's Pike
Of course, this would put our remake series on a ship aside from the Enterprise. Maybe the Constitution?
What's the point of having it on another ship that isn't the Enterprise?
This setup doesn't work with the reboot canon.
Plus it would require an older looking Pike based on Greenwood's.
And Greenwood's Pike was on Earth half the time commanding the academy cadets... it doesn't line up well with his timeline.
A Pike-based Enterprise series would need to be based in the PRIME Trek canon.
(And it would be too convoluted to start a third new canon for this....so it has to be Prime Trek)