Neeeh - is the toilet nice, functional, seated well, comfortable?
I wouldn't bother - I do all of that kind of work in this house and I wouldn't even do it for myself
I have a gap of about 1.5" behind one of my toilets and couldn't care less - I have a shelf surrounding it . . . voila. In fact: with one of those over-the-toilet shelving units it almost needs to be away from the wall so people don't knock their heads on it all the time.