I think VInce Kelvin is genuinely trying to help men interact with women in this article; responding to a perceived need by some men. ( Heavens there are hundreds of similar articles in women's pages and magazines , trying to help women relate to men.)
You don't advance your case that men need consideration by rejecting the case that women do too.
Nor is it necessary to reject out of hand that women have been oppressed. It is not a fallacy. For hundreds of years they had very few legal rights; so e.g.couldn't own property, had to hand over all their money to their husband on marriage, lost their job if they got married or become pregnant, ( still happens), weren't allowed to get a loan, couldn't inherit titles, were legally allowed to be beaten by their husbands, weren't allowed to have higher education, had no rights to their own children if they separated from their husbands, were used as business/political pawns by their fathers, denigrated by their religion as the cause of all the evil in this world etc etc.
Women also suffered hugely just by being women. In times when there was little medical knowledge 1 in 5 women ( I think that is the statistic) would die in childbirth.
Because of all these things women over the centuries have tried to form self help networks to support each other. Just as men formed trade groups or guilds . In more recent times women continue to expect a lot of emotional support from their female friends , perhaps in a way that men don't expect to get from their male friends. This may be one of the reasons men have such a high suicide rate? Also the removal of the obstacles that kept women from entering the trades and professions previously limited to men, may have changed men's self identity as doing these jobs was part of being a man.
Of course in times when women were not allowed to do many of these jobs you are going to find that men alone did them. This is not to say however that women were inactive. Often the whole family would work in the trade, shop, of which the man was the titular head. Women would look after the children, the house, washing/ making all the clothes, caring for the sick and elderly, working in the dairy, looking after poultry, harvesting, taking over the whole running of the land, farm, estate, country when the men left to fight wars.
Where I agree with you is that of course men do need consideration and help. There is obviously a problem somewhere in how we treat / raise boys if they are not doing as well in school as girls. I do not believe that there is 'original sin' within the male sex which means that they won't be as successful as women academically, that they will commit more crime etc. I think all these things are a result of how we treat men and have not paid attention to their needs. It is still not uncommon for boys to be routinely sent outside when they make a lot of noise eg. for hours on end.( Which would not happen to girls.) The result being that whatever adult conversation there is in the house is not offered as much to the boys as to the girls.
We need to offer boys and men much more consideration to help their role within the family. This is why paternity leave is so important. Why it is so important that men share child care even if they are not living with the mother and everything should be done to make sure this is possible. Otherwise men can end up very isolated , particularly in old age.
However I also think that ,men have a lot to gain/ and have already gained from the social changes which have allowed women to get jobs, have rights too etc. Men are now allowed to be a part of the loving family in a way which was frowned upon often in the past. Few men would want to go back to the time when many men had little to do with their children and had little emotional support. I do believe that the way forward for men is to take more part in the family. The long working hours in factories/ shops etc does not help here.