Are They "Weeds" or Uninvited Wonders?

Check the photos below before leaving commenting on the question:

1) Some morning glory vines decorating the pole limas on our garden trestle. 

2) A volunteer sunflower welcoming us at the south end of our garden plot. 

3) A 12' tall sunflower, also uninvited, standing guard at the north end. 

4) An unidentified wonder standing like a sentinel at the front of our house (I finally removed it due to the fear our neighbors might object).

But think about it. What is a weed but another amazing creation just showing up uninvited and unannounced?