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I don't know how strict BoA is with their UW, but they do take into consideration current relationship. So not hgaving one can be a plus, if it isn't exactly a great one. I get offer all the time, or used to. But because they aren't my main Bank, I don't have much there. Thus I'm not beneficial enough to them.
Before you commit I would suggest that you read up on their recent devaluatuions that have been happening. I once thought about getting this card as I fly Alaska more than other Airlines. But with each passing year it seems to be come less attractive. The companion fare is still a nice perk for some, but I travel alone.