Hi,
It is not a bug.
The goal of the bundle feature is to be able to take into account the stock of the bundled products automatically.
For example, if you have a stock of 2 for a product added as a bundle to the main product with an unlimited stock. That main product will have a stock of 2. And if that main product is purchased, the stock of the bundled product will be decremented.
Usually, you don't really want to do other things with bundles. For example, for price, you usually want to set a special price for the bundle, not just the sum of the separate products. And you also don't necessarily want the name of the bundled products to be included on the product page, but have a more customized explanation directly in the description of the bundle product.