According to Hacham Ovadia Yosef there is a Halacha of Safek Berachot Lehakel meaning that in any case that there is one (or two I can't remember but it doesn't matter for my example) Posekim that hold not to bless on something we withhold. Why then by flavored gum do we make a Beracha if we have (at least three) Posekim that hold not to: Yaskil Avdi, Yishak Yeranen, and Birkat Hashem? There are probably more just not that I've seen.
Why doesn't Hacham Ovadia apply this rule over here?