1. Just like movies, you don't own anything. Revocation can occur at any time.
2. More likely than movies, you might find your game patched to add or remove content you do not want.
3. You can't give your games to the next generation. Which matters a lot when your exposure to gaming started from NES and Atari hand-me-downs.
4. Every game you purchase is chained to just yourself. Which is actually stupidly selfish when you have a large extended family also interested in games. The Switch is a hit for borrowing back and forth from a large network of relatives and friends (and, if Nintendo's reading this and questioning the resale market - this has caused a lot of games to get bought that wouldn't have).
5. If you have a large NES collection, there will be someone interested in paying for it. If you have a large Switch collection, there will be someone interested in paying for it. Physical games have some asset value, and it can be thousands of dollars for larger collections. Digital games have zero value.