Some scenes I felt like the writer was having fun, and a laugh, channeling the ultimate gangsta. I laugh at some of the scenes, such as the bath tub scene.
Definitely, especially (as you say) the bath tub scene where he says "Look at the pelicans!" whilst watching flamingos on tv... there are a few other light touches as well which didn't detract too much from the character and showed Tony as a multi layered personality...
In the 30s version he was shown to be even more unhinged and not due to a coke habit and not all that smart
like the song it was a good day by ice cube:
"saw the lights of the Goodyear Blimp / And it read "Ice Cube's a Pimp."
"the world is yours"