Actually since I can answer yes to all of the above (except I've only won medals, not trophies
), I'll inject something.
Your question above states "competition" training. I don't remember this being a specific discussion for the topic. For the sake of responding though, I would most certainly argue that while competition training does in fact, provide a higher quality of training in some aspects, it also offers some disadvantages in others. It's for this very reason that I incorporate sparring in my training curriculum, but don't limit it. To keep it simple, I'll point out what I feel is the obvious.
Taekwondo offers techniques that are not allowed in competition, right? If your training involves only sparring techniques, then you're not practicing other techniques, such as knee/elbow strikes, submissions, etc. Most SD practitioners I know are equally effective with their hands as well as they are with their feet. Additionally, fighting from a lock as well as on the ground, both offensively and defensively. They have a very large comfort zone and can apply effective technique in a wide range of scenarios.
I'm a strong believer that sparring increases student understanding of their physical capabilities. I believe a student that practices sparring is going to achieve a higher understanding of capability including situation awareness, body language, range, timing and power to name a few. However, practicing in only a controlled environment, focusing primarily on kicks, inherent disadvantages include limited ability to properly execute a wider array of techniques that are not part of a sparring curriculum. While you can argue this point all day long, the fact remains that I (personal experience) have never met a practitioner that can excel at both just as I have never heard of a competitor that competes and medals in Sparring and forms at the highest levels.
In other words, a sparring practitioner can defend himself and a self defense practitioner can compete. But if you're going to relay on the SD practitioner to medal and the sparring practitioner to defend you, you're playing against the odds. Train for whichever meets your needs, and be realistic in your expectations. This is true with anything. If you're going to specialize in something, it's going to come at the expense of something else.
Back to Manny's OP, his sabumnim was not ready to do that.