If you have an external masonry wall, which is exposed to the conditioned space of the unit, then you have very negligible insulation and a massive thermal conduit between conditioned and unconditioned spaces.You would be doing far better by your future tenants to insulate this wall than worry about loosing 2-3" of living space or the aesthetics of a brick wall.Where this is a masonry wall - first confirm if it is a single wythe or 2 (or possible 3) wythes of brick (with a air gap/drainage plane between the outer wythe and the inner).  

I have lived in my present home, a modest 1915 2-bedroom, for the past 12 years; its present value being at least double what I paid for it.As may be apparent from the preceding, my interest is in older homes, having an aesthetic character generally not found in modern construction.

I would not do anything that would make you re-shingle the roof or aesthetically impair it. 

This year we installed a new front yard at my personal residence and I didn't like the aesthetic of the cookie cutter xeriscaped formula.  

I was also in the art world for 5 years and I use that to reinforce helping with aesthetics and design when buyers are trying to forecast how a home may look.

The kitchen was the trickiest part of the house due to a VERY poor original layout - but I did my best to make it the most functional and aesthetically pleasing kitchen I could. 

We will keep that wall and live with how it looks aesthetically. 

How are you going to manage the day to day trial and tribulations of dealing with a contractor and dealing with all of the aesthetic decisions?  

So speaking from an aesthetic point of view I think it is an option.

Also, it would take a high end reno to do that which adds up fast.Just do an aesthetically pleasing, mid level, remodel.