The symbol of burning the burqa, gives Syrian women a sense of liberation from the oppression of the culture toward them. Burning the burqa is a movement to female freedom such as burning bras during the 60's was for women's rights. The burqa is not a religious requirement but a cultural restriction that puts women out of the public view.
Political powers in Syria will continue to oppress women for years to come. The international response has not been strong enough to prompt any improvement in women's rights in Syria. The women there do not have the freedom to burn their burkas. They continue to suffer in silence while the nations of the world do little to improve the situation.
No, Syrian women will not adopt the trend of burning their burkas upon liberation from the Islamic state because the burka represents tradition, morals and values they were raised to accept and embrace. The burka is not representative of a loss of freedom, but more so a cultural tradition that many Islamic women will continue to embrace.
Just because something changes in a government doesn't mean that country's citizens will change their customs. Plenty of women from different cultures move to other countries and keep their customs. When a person has been raised to do something a certain way it is hard to get rid of it.