I think the more appropriate word here is "assertive".Because "dominant" has a suggestion therein that the man is "weak" and needs "guidance" or someone to "take control" etc. This is not accurate.
Generally, men tend to become increasingly "childlike" when married for a long time. Or when involved with someone for a long time; Expecting the partner to fulfill the parental role(Mother). So I see the Moon as a pivotal planet in the long run.
Men with Asc/Sun/Mars in Pisces,Virgo,Libra tend to want to please their partner. So they will adjust themselves to suit their partner's needs.
If there are challenges and afflictions to the above placements, it may go towards overdrive.So eager are they to please, that they may have their partner increasingly "rule" them or walk all over them
I don't know if you can call these men "weak -willed" though.
Women with Mars in Libra/Pisces/Virgo tend to get involved with men who will increasingly indulge their whims and put the women's priorities 1st.
Or if Mars is afflicted, they could have their men become increasingly patronizing, mentally abusive,suspect,argumentative and passive aggressive.
Women with Asc/Venus/Moon in Leo,Scorpio, Aries or Capricorn tend to have their men increasingly leave the decision-making to them.
These men see them as so "capable",that often they end up assuming more of the responsibilities of the relationship.
This can have mixed results.
If the above planets are afflicted,their partners may grow increasingly dependent, want to be "babied",unable to function without them and basically have the women take on the responsibility for all the "dirty" work i.e pay bills and mortgage, take care of the kids, suggests repairs for the house etc.
The man often "abdicating" his role in its entirety(in some cases).
Men with the IC or if the 5th house cusp is in Libra/Virgo/Pisces,are at peace working in the background or "balancing" the roles in some way.
If there are challenging aspects to the IC especially,there is a possibility that their roles are ignored or "expected" -instead of appreciated.
Women with 7th house cusp in Libra,Pisces, Virgo may be drawn to men that are very sweet and extremely accommodating.
But there is a danger that with afflictions to the 7th house cusp,they may also lack resoluteness of will or firmness of character.