I used cages for decades. Finally I took the cages off when I was in a bike skills class and realized the cages were actually a detriment to my riding.
Now I ride on BMX platforms (utility bike, cruiser bike, and work-horse bike) or Speedplay Frogs (zoom-zoom bike).
There is nothing wrong with you riding "just pedals." Ride what works for you. The nice thing is that we have a gazillion choices these days, so you really can find what works best for you in each riding situation.
"If Americans want to live the American Dream, they should go to Denmark." - Richard Wilkinson