well you are going to hate the new batman after bruce returns, since he is going to go international and let dick and damien be batman for gotham according to the recent interviews.
batman being gay for his robins is an old joke it is often made fun of and and sent up in shows like the venture bros. with one of the most famous voices of batman doing the voice of the parody of batman. beyond the implied jokes and whatnot there has never been any evidence at all of batman being gay for young boys. nevermind young boys he trains to be lethal fighting machines, i am sure "dick" grayson or tim drake would have come back for a can of whop ass if he had been molesting them as children.
he does in fact sleep with the occasional woman and had a few relationships over the years usually with very flawed women, catwoman, talia al ghoul, and the most normal one vicky vale.
yea he is a psychopath, i mean how many normal people get dressed up as a bat and spend every night prowling the streets for crime? even he knows it is not normal and several comics deal with that fact to some degree or another.
but what city did he become batman in? a city that was besieged with mob and gang violence, with a police force that was near thoroughly corrupt, politicians on the take, judges under the thumb of the mob and on and on. basically a hyper version of the nypd or lapd coupled with the very best capitol hill has to offer. to the point the crime lords ran the city the cops and the politicians. once he became batman yea he inspired the super criminals and psychos to erupt form the mess most famously the joker created himself to try and foil batman, riddler started doing crimes to try and outsmart the greatest detective alive, etc etc. but would they have just gone away if batman helped clean up the city and then retired or whatever?
is it realistic that someone would lose their parents, go into exile, become a master of all martial arts, forensics, mediation, yoga and on and on and them come back to fight crime in a few years? hell no but it is a bleeping comic after all.
yea he has raised 3 robins 2 or 3 of which are into full adulthood, with a teenage son now days in the mix, which would make him pretty damn old, but then again it is a comic.
if you picked apart most any comic or action hero they tend to not stand up to the harsh light of logic or common sense or realism most definately.
but we all like heroes, we need heroes weither they be comic book ones, sports ones, real life ones on occasion, comic ones barely age, they never falter, and they are rarely plagued by the reality that our sports/real life heroes are doping up or beating their gfs, or cheating on their wives.
batman is an icon because he is one of the first super heroes that lasted the ages and continues to be popular, he is one of the few super heroes that has no supernatural or inhuman abilities, he also wins most battles using his mind and his human skills and some scifi tech, but he is no superman or wonder woman or x men or 80% of all other super heroes that are super in some physical way.
he is in effect the ideal human in mental and physical diciplines, if he was not emotionally scarred he would be pretty damn boring to write about otherwise.