Applying your "logic", we should simply subsidize Trojan and other condom manufacturers to offer their products for free directly to the public. Why go through a middle man?
Because condoms aren't the most effective form of birth control, for starters. The failure rate is about 10x higher than methods like IUDs, birth control pills, depo-provera hormone injections, and hormone implants and patches.
But, in some ways, your comment isn't far off base.
Providing free birth control to poor women significantly reduces abortion and unplanned pregnancies:
Study: Free Birth Control Slashes Abortion Rates | TIME.com
Over the course of the study, which lasted from 2008 to 2010, women experienced far fewer unintended pregnancies than expected: there were 4.4 to 7.5 abortions per 1,000 women in the study, after adjusting for age and race — much fewer than the national rate of 19.6 abortions per 1,000 women and lower also than the rate in the St. Louis area of 13.4 to 17 abortions per 1,000 women.
The effect of free contraception on the teen birth rate was remarkable: there were 6.3 births per 1,000 girls aged 15 to 19 in the study, compared with the national rate of 34.3 births per 1,000 teen girls.
In other words, providing free birth control cut teen pregnancies by 544%. It cut abortions by 261%.
Which do you think is cheaper? Giving away condoms or subsidizing teen moms? Which do you think would have a greater likelihood of increasing these girls' graduation rates and odds of becoming taxpayers--giving away birth control or maintaining our present system?