Safety, consistency, accuracy
It's not about doing better than someone else.
It's about doing better than you did yesterday.
Traditional archery means longbows and recurves, and does NOT include compound bows. I like shooting compound bows, and I like teaching them, but learning archery on a compound bow is like learning to drive a car with an automatic transmission. Yeah, you'll learn most of what you need to do, but you won't get the true basics of driving a car.
The biggest difference between the two isn't the let-off of a compound (where you pull 70 pounds but only have to hold 10 or 15); it's all in the controlled draw length. As you pull a 30-pound compound bow's string back, it starts at 30 pounds, then the farther back you pull it, it's still 30 pounds, until you get it all the way back and it's maybe five pounds with let-off. With a traditional bow, pull it a little and it's five pounds, then 10, then 15, 20, and 25. When you get it back to the "rated draw length" it's 30 pounds, and it STAYS that way (so it's harder to hold while you aim). The difference between 29 and 30 pounds might be a quarter of an inch of draw length, and even if your anchor point is solid, just breathing can change that length. That's not a big difference until you're shooting at a five-inch target ring at more than 75 yards. Watch any Olympic archer and you'll understand the scope of this change.
The bottom line is, we teach traditional archery because if you learn on a recurve or longbow, you can shoot a compound with little or no adjustment. The opposite is absolutely not true.
Come learn traditional archery. It's harder, and it's sometimes more frustrating, but it's also more rewarding. Learn to drive a stick, literally!