It's more complex than that. That's like saying planting a garden robs the local ecosystem. Maybe! Maybe not!

Native pollinators have different life cycles and different plants they evolved to get food from. Honeybees, likewise, will only visit some flowering plants. That may increase competition for scarce resources, or it may not.

You are correct that honeybees are non-native, and that honeybees do draw a few lbs of nectar and pollen every day from the environment (up to a 3 mile radius from their hive), but it's unclear how much of that nectar and pollen is surplus from the plants or removed such that local bees experience pressure.