Major airline interviewers aren't stupid. They know any applicant has probably applied to and would accept a job offer from any major. The 737 type isn't going to faze them in the least. It shows commitment to finding a major airline job, trainability and (maybe) currency. Interviewers also know that few pilots jump between major airline jobs and that if they hire the guy, he's probably there for good.
"So why the 737 type? Does this mean you'll leave for SWA?"
"Major airline positions are hard to obtain. I was able to obtain funding through the unemployment agency for the 737 type. Working at your airline is my first choice but I need a job to support my family so as I'm sure you already know, I applied to other major airline also. While the 737 makes me eligible for SWA it also shows any employer I can be successful in a large transport category aircraft, have the necessary CRM skills and provides currency."
+1
Exactly.