Removing the flower stems won't affect the leaves one way or the other. The reason that some gardeners remove hosta flower stems is because they think the tall stems detract from the overall look of the plant. Other gardeners find the flowers charming and prefer to leave them on. In fact, some hostas are bred primarily for their colorful and/or fragrant flowers. Once the blooms have faded, cut the flower stalks off near the base so the foliage can disguise the cut end of the stalk.