My parents were pushed by others around them to get me recognized as gifted/advanced (or whatever the term in the 70s was). Other parents (and my parents' parents) all recognized something different, so my parents went to the school, right before I started kindergarten. They got a reassuring pat on the head by the teacher and principal. "Everyone thinks their child is unique/special/advanced, especially their first, but trust us, everyone needs this..."
School started on Wednesday, and Friday afternoon they got a call saying "lowercased should be accelerated a grade or two - he's too advanced". So I was moved up a grade - that's the only lever the school had for "advanced" and, to my knowledge, I was the only one they'd done that for in the 20+ years the school had been open. I later learned it might have been 2 grades but my dad was concerned about socialization issues. And... 1 grade was bad enough in that respect.
There were multiple programs for "behind" students - kids were taken out of class for directed reading programs, other counseling sessions, etc. But there was nothing for 'advanced' kids in our area for several years. So yeah, I think there should definitely be more recognition and support for 'gifted' students in some capacity, even if it's subtle. Perhaps moreso if it's subtle. Being visibly 'different' is difficult for a lot of kids.