Cross loves to have fun and party. Part of his character. Even Hoshino, the author states he's got a very lively nature. But you claim it's ok for your guy to be childish. But our guy is evil for smoking or drinking? Those things are fun or relaxing for some people.
And Cross is very much a gentleman. He was in a solid relationship with a woman for around a year, and left to continue his mission in the war. Anita
And Anita's mother was also in love with Cross, before she was killed. She and her mother became Supports of The Black Order only because they were trying to help Cross. And she was devastated when she thought Cross had been killed.
Then is moved to tears when she hears Cross wouldn't have died so easily.
Hoshino, the mangaka, has stated that Anita hates mean people.
If Cross were a disrespectful jerk, she wouldn't have any interest in him. I am sure she deals with that constantly, given her job -which is why her establishment has a huge female guard / bouncer.
This lady.
Cross supports Neah, who is a Noah. This lady mentions that she supports Cross and will help him. But she does not support the man Cross is allied with.
And she seems to think highly of Cross with helping him care for a traumatized kid, letting him stay with her on occasion -he has his own room there. And she mentions how radiant he is.
She could have been a lover of Cross' -
MANY years ago when she was younger. Because again, Lord knows how old Cross is. But more often than not, she's just a very good friend.
Women are very fond of Cross, to the point many of them help him -letting him stay with them, giving him money, and gifts that he hangs on to.
And he comes to fight danger much quicker if he knows a lady is in trouble.
Not to mention Cross stays at The Order, a place he hates and ran from, just because this girl asked him to stay. And she's not even one of his lovers. He hasn't even seen her since she was 12. She's 16, going on 17 at that point.
Prior to that, he saved her and her friends from the enemy, and holds her while on a crumbling ark t keep her safe.
This lady may have also been someone who loved him.
So doesn't seem tons of women think Cross is horrible. And he does seem to have relationships with his ladies. From what I hear in the thread, the other guy hasn't had any kind of serious romantic relationship with a woman. Romance isn't a main part of either series, but it can still be worked in. And Hoshino has shown Cross as a man who can and does have ongoing relationships with women.
Far as his mask, we don't know what he wears it. It hasn't been revealed. He didn't always wear it. But prior to that, his hair covered his eye. So the author has got something about his eye we aren't supposed to see yet -possibly. But his mask has the ability to disguise him as a Skull, which allowed him to infiltrate their base and kill all of them.