My main objection is that the uncovering is like the rest of the whole abandonment of long standing practice in favor of the trendy, Reforming what aim to shock people tend, instead, to offend.
By the time that the new Code of Canon Law was issued in 1983, women covering their heads in public was no longer the cultural norm in Western countries. The Church’s decision to omit this requirement from the CCL was certainly not done to shock or offend anyone. Moreover, the Church has the authority to change rules such as this, especially since this particular requirement was not something essential to the nature of the liturgy. Times change. Get over it.