Johnsonrod, I'm glad Daddy paid for your training, I'm also glad, no scratch that "ecstatic" that I'll probably never have to fly with you.
My Daddy didn't pay for my flying lessons, Nor did I have to purchase my 737 type or my ATP but that's because I was luckily enough to be the right place at the right time thats all...... I did pay my dues at a regional level for many years and watch a lot of young punks ( and I only use that term for those that had the attitude that they were deserved the job because they took RJ 101 in the college that Daddy also paid for) come a long with little flying experience, sell them selves out (along with our industry) to take much less than standard wages to get that first airline flying job. The point is that we all "pay" our dues one way or another and for you to have such a chip on your shoulder about SWA's requirement for a 737 type (AFTER being made an offer for employment) shows a real lack of maturity. And to answer your question.
buying an ATP or multi engine rating to put on your certificate IS no different than a specific type, there are a huge amount of corporate positions that will not entertain your thoughts of flying for them if you are not typed in the equipment they operate. I'm sure you & Daddy think all those pilots are sell outs too, right?.
I'm sorry that Daddy won't pay for your 737 type, I'm starting to believe thats the real "angst" of your problems! 
Good luck getting out of your current flying "rut", and please seek professional therapy if you need it before you carry your grief into the cockpit. Good luck.