The feeling of unproductivity may appear when we stop for a while to think. Being in several meetings all the time, without breaks and moments of free-thinking, can end up harming your creativity, preventing you from having strategic thoughts.
Talk to your colleagues about the possibility of missing meetings that you don't need to be in, or arrange a time to think and be faithful to it. Schedule meetings with yourself weekly, and take this time to think and look for answers without pressure.
Here’s a video about how taking breaks helped to improve work, thinking clearer, creating new perspectives, and coming up with ideas:
Source: Harvard Business Review, 4 Ways to Improve Your Strategic Thinking Skills.