I think what you're describing is exactly what's claimed. /Lowering/ interest rates leads to growth, not low interest rates. I don't think many economists would dispute that.
The general model is that interest rates, lowering taxes, and increasing government spending are tools for shoring up the economy during a recession. During a growth period, interest rates should be raised, government spending lowered, and taxes raised, so we have room to adjust them for the next recession. This can, in theory, smooth out the boom-bust cycle which otherwise naturally results.
The problem is that we rarely raise interest rates, reduce spending, or raise taxes, since it's politically unpopular. Many of these tools are harmful; for example, outside a few domains like infrastructure and medicine, long-term high government spending tends to /harm/ the economy.