Hmm..I'm a bit of a poster child for some of these brands.
I have a lot of Nike running clothes. This is because the local running store carries Nike, and I like to support them instead of mail-order. I don't have any Nike cycling clothes. I have some Nike jammers, but I buy grab-bag suits and don't care if they are Nike, Speedo, or TYR.
I do have a Madone that I bought during the Armstrong era. It was my first carbon bike, and that's the brand that my LBS carried, and it was a good value. Ironically, it replaced the steel Lemond I was riding at the time. I've bought 4 bikes since then, none of which are Treks. But my decision on which bike to buy has nothing to do with which company sponsored which athlete.
I have several pairs of Oakleys. I get them at a deep discount. I have tried other brands, but I think Oakleys simply work the the best. My old team used to get a deal on Rudys, but I didn't like them. Somewhere I have a pair of vintage bug-eye Brikos from around 1997. I think JM wore those, so maybe I should burn them in protest?
I have been wearing Giro helmets for 15 years. They have always fit my head well. So should I try a Bell helmet because Giro sponsored LA? Well, Giro owns Bell (or the other way around). Yeah, there are other brands, but I'm not going to try another brand just because Giro sponsored LA.
For me, who sponsors who has no influence, as far as I can tell, on which brand I buy: I buy what is best for me. Besides, if switched brands to avoid Nike, Oakley or whoever, I'm sure that whatever brand I chose with would have some skeleton in the closet.