Masters in Stats/MFE vs MBA

Does anyone see any issues with being promoted up through the ranks and having a masters in statistics or financial engineering/quant finance degree instead of an MBA?

This is just my perception, but I feel like many people have a hard time getting promoted above the VP level of your division or team if you don't have an MBA and people view you as not having enough soft skills if you do a more technical masters degree. If not that, then it's maybe just the majority of the super math geniuses don't have the best social skills and don't make the right connections to move up, or maybe don't want to move up. That being said, I would consider myself as outgoing, people friendly, good with communication, and don't have issues making connections or getting to know new people and promoting myself.

Starting out after grad school I see myself using my masters degree in the short run, but as I get older, around 50 or so, I would like to be promoted up and spend less time doing financial/data analysis, and instead, being more of a manager. And by manager, I mean SVP, director position, or higher, depending if I like management or not. In short, I see the technical masters degrees being a better short run alternative, and the MBA being a better long run alternative. I know there are some MBA programs that have a stats or quantitative finance emphasis, but they don't contain the depth and exposure I would be happy with.

Lastly, my undergrad is in Financial Economics and I am about half way done with a statistics minor, but am debating whether or not I should finish it. If I decide to do a masters in statistics I probably won't finish my stats minor and will take some proofs classes. If I decide to do the MBA I will probably finish my masters in stats. Any insight here.