When my son was a very energetic toddler, I purposely set aside time in the day when he was at home, every single day, for him to ‘run it out’. We would do this in an open space, let him explore or climb a tree etc, but he still had regular instructions in order to stay safe.
He is at a boys school and they’re quite intentional about the boys having time to release physical energy. It helps them to simmer down when needed.
i do not think that just leaving a toddler to it, will yield much benefit later. In fact, the risk that I see, is more problematic behaviour later on, if the child doesn’t know how to channel their energy. This could be destructive behaviour at home, or disruptive behaviour at school.
I would suggest you maybe join your little one onto some clubs or classes as he grows. This will be an excellent opportunity for him to release energy, learn to listen to instruction and work well with others, in a team. For example, a lot of football classes start from age 2/3. He could join anything from drama club, to scouts, to cricket or swimming.
my son is almost 12 now and I can not tell you how important it is, that boys like this learn when to use their energy and when to calm down and listen to instruction. They are vital life skills. Getting into trouble at school for example, will only lead to a whole host of other problems; poor self esteem, difficult friendships, a negative relationship with learning, identifying as a ‘bad kid’.
I understand that you are leaning towards ‘gentle parenting’. Nobody is suggesting that we should use harsh methods of control. I just think that guidance, and encouraging the formation of critical skills is something we have to do early on.