Isn't google already the front door to everyone's website? Are the amp URLS really crazy? If you have a .com address is that roughly the URL in search results?

Isn't google already the front door to everyone's website? Are the amp URLS really crazy? If you have a .com address is that roughly the URL in search results? Your link is being shared from Google's search results and their application, so you might not like it but they have every right to control how it's displayed. Is it difficult to accept traffic from an AMP link? Are there technical downsides besides being called a name you don't want?