nope. What u have described is not true secularism.
Hijab is not OK because it sends the subtle signal that the person wearing the hijab is 'different' from others. Say in a secular society, there are 10 person infront of you and 9 of them are average looking folks, with only 1 person wearing a hijab, your natural reaction is to notice that single hijab-donning individual who would be shining like a christmas tree in your subconciousness. Your brain automatically processes the visual information received and gives the analysis(to yourself) that this person is different from the 9 others. This is not how a secular society works, when everyone is judged to be equal
Singapore, which is already many times more liberal than China in many aspects, bans the hijab from workplaces in the public sector as well as most of the private sector(choice is up to individual companies) including schools n hospitals. Teachers and nurses are not allowed to wear any religious headdresses.
A secular society will never tolerate any individual distingushing themselves from the general populace.