When I was a toddler I walked around in diapers all day and in public when it was warm.
My parents used to take me in public in summer and warm temperatures when I would be dressed in just my diaper, shirt and sandals like the boy in the picture below.
I think it's fine and it's more comfortable to wear just a diaper, shirt and sandals.
I still like to go outside in our fenced in yard wearing just a diaper and shirt and sandals like a toddler.