In summary - there will be a big mess if the SI changing exit day isn't made; but it isn't the mess people seem widely to be expecting
Brexit day is, for now, 12 April (it might be extended further)
Exit day is, for now, still 29 March (the gvt has the power to align it with Brexit day)
tl;dr Brexit day is when the UK leaves the EU. Exit day is a trigger date, set in the EU Withdrawal Act, when a collection of domestic legal changes come into force.
But they are out of sync, and will remain that way unless/until an SI is made to modify exit day to match Brexit day.
So let's see what changes might happen prematurely.
But it's not going to happen:
And section 9 is in force, but it needs a Withdrawal Agreement to bite on and there isn't one. So it's triggering would be empty
None of the headline changes associated with exit day will bite, regardless of whether exit day is changed.
They are not part of the the mess we might end up in.
Despite its title, that Act is not a significant part of the machinery for accommodating EU membership in domestic law.
The only primary legislation at risk on exit day is the 2011 Act. The consequences of a premature repeal are probably not significant.
The mess is worsened because some of these changes will be void, others won't, and it's hard to tell them apart.
If exit day isn't changed, a serious rule of law problem awaits. It will become basically impossible to ascertain with any certainty the law across a huge swathe of policy areas.
(A caveat: I found it really hard to navigate the material this thread is about. I might have missed stuff. If so, sorry. Correct me.)