Bad assumption..

No.

Again you assume "all shocks are the same", they aren't.

But not even an inch of difference will be seen from this.

No, they wont raise the height. If they did they are either the wrong
struts or they reinstalled the springs and/or the seats incorrectly.

Sheesh, YES ride height can be altered when installing new struts.
Aftermarket items arent always exactly the same as the OEM's. The new
struts are a little longer than the old ones. Should you worry about it?
Not unless you get some strange tire wear.

-Pete

What distance and conditions do you drive in?  Shocks used in UK on
surfaced roads usually last 80,000 miles 8 years of wet summers, road
salt winters and assorted potholes.  My fronts are still original at
130K miles and 13 years - fitted new gaiters at 80K which is when I
blew the oil out of a rear shock by a heavy landing.  I have had a
Nissan and Toyota make over 120K miles and 15 years old on all the
original shocks but I didn't give them flying lessons (didn't go fast
enough).

If it's changed your ride height by more than a 1/2" then your wheels
and tyres will be at the wrong camber angle as the suspension arms
will be working at the wrong angles - especially a Nissan multilink
rear suspension as it has quite short links.  This will also have
loaded any rubber bushes at suspension arm pivots past the normal
working range which could reduce their life as the rubber can shear
from the metal inner and outer.  It's usually the other way round.
People fit springs with 1-2" drop and then find the tyres scrubbed out
on the inside edge in a few 1000 miles.  If it's as bad as you say
expect to lose the outside edge of the tyres in a few months (assuming
you do 1000 miles/month).  Incorrect camber also means your tyre
contact patch is reduced in width and displaced to one edge (outside)
and that could kill you as it will affect braking and steering making
a skid much more likely especially on wet roads.

If the ride height is wrong you have been sold the wrong shocks or
they have been fitted very badly.  I suggest you read the specs in
your owners manual, find the roof height and check that.  With a full
tank of fuel, if it's more than 1/4" off it's wrong, more than 1" is
very wrong, take it back and get them to put it right.  Don't let them
sell you a camber correction kit or shims or mess with the vehicle
frame to make it safe and stop it wearing out tyres at it's current
height - it was right it's their parts that are wrong.  If you don't
get satisfaction sue the C**TS - preferably out of business.

I just have my shocks replaced yesterday. It did the same thing. I would not
worry it, because it need time to break-in. It will settle down in couple
days.