What if: Steve and Natasha were trying to recruit Sam Wilson?

I was watching the intro to the movie today and just thought: It seems odd that Steve would engage with this guy, have a back and forth and then him wind up being the type of specialist that he was. Natasha rolls up in this cool car, attempting to showcase the lifestyle of the kind of work that they do, gives him a little moments which is something she is trained to do, and then speeds off. its all very neat, and seemingly random. BUT what if they were on a recruiting mission, the plot then kicks off, so they double back to him during the movies because they knew he was capable.

Now this isn't to say he was being recruited to becomes Captain America, because obviously not and I had my money on Bucky until ENDGAME happened. Yet Sam is the only true rando to be added to the Avengers. Scott Lang was scouted, Peter was scouted, THE NEW AVENGERS were all known soldiers and/or crazies. I have doubts based on that scene that they weren't approaching Sam randomly, I feel like he was scouted and things went off the rails.

Right? its too random.