This may be a gender based thing - it will change once she gets a little older.
I didn't really relate to my daughter that well until she was older than 4. She didn't really want to hang with me either because my 'No' has always been absolute whereas my DW has always made 'No' seem like a suggestion.
Now I cannot wait for her to come home from school (I typically work from home) so we can do stuff together. I really think that once the child becomes more resilient, has a longer attention span and can tolerate discomfort better the father typically takes more interest. I have spoken with a few friends about this for comparison and within my circle of friends the rule has applicability.
