There are very few plants that would see any measurable benefit from the dissolved minerals in tap water. Dissolved minerals are actually to some plants' detriment, because they tend to make water more alkaline. House plants are often tropical plants that evolved in humid, rainy areas with acidic soils. Watering with rainwater or distilled water and using an appropriate fertilizer are almost always going to yield a better outcome.
Temperature-wise, room temperature is best. Plants don't expect or like hot water