Native plants are plants that occur... natively. If a plant was brought in from elsewhere it is invasive. It has nothing to do with temperature.

Plant seeds tend to travel far and wide with birds and animal migratory patterns. What takes root is dependent on soil, climate, etc. Meaning, what’s native is less dependent on location and more on conditions.

As climate changes, conditions change, and so the set of plants best suited to any particular location changes as well.

Plant ranges are migrating due to climate change. For species that are native to areas close enough to be introduced naturally invasive is not a useful definition.

Exactly. Those plants are not invasive.

Some native plants can handle that kind of temperature change better than others. I wish there were a database of plants that are both native and climate resilient for different areas.