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You're treating "conversions" like it's a strategic thing only, like a real-time strategy game.

Exactly.  A conversion does not happen because of marketing, or a catchy commercial tune, or a fancy slogan.  This kind of stuff works for protestantism, because what they are "selling" is superficial and the "easy way" to salvation. 
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Every protestant who has a REAL conversion to catholicism (i.e. they were of good will and trying to find the true religion) admit that they changed churches (i.e. get tired of the product) every 4-5 years.  And the typical protestant goes to 10+ churches/pastors in an entire life.  And everytime a protestant changes churches, the rules change, the focus changes, the "spirituality" changes.  That's why they change; for something new.  Because the original "product" didn't satisfy.
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Conclusion:  Protestants don't evangelize and convert, because no one stays at any of their churches long enough.  Their church members are simply "fans" of a pastor or "disciple-ship" group.  When they get tired of it, they leave.  They treat churches like most people treat the latest diet fade.  "I'll keep trying new things til something fits."  But those that stay in Protestantism never find a fit because it's not from God.

The fact is, the majority of men are SIMPLY NOT INTERESTED.

This!  And in the very few cases a person shows some interest, he generally realizes that traditional Catholicism must be a crok once he starts looking at the "pope".  And in traditional Catholic circles, it's the R&R folks who really get in the way to converting people to the Catholic faith.