Are all avoidants abusive

My avoidant ex was never openly abusive. As the power dynamic shifted in our relationship he became more prone to angry outbursts and yelling which had been uncharacteristic. I would say he was emotionally abusive in that he was emotionally neglectful and dismissive of my feelings. I had been the more abusive partner often yelling at him and even demeaning him when his distancing and deactivating made me feel bad. I was likely emotionally abisive as well playing the silent treatment game and withdrawing emotionally when I didn't get my way.
I'd say that attachment insecurity if any variety lends itself to emotional abusiveness. The avoidant might be prone to stonewalling or passive aggressivity, while the anxious is prone to intrusively holding their partners responsible for their own feelings, taking the relationship hostage.
I'd say being physically abusive depends on other things such as temper and how one responds to anger. I remember having to consciously keep myself from becoming physically abusive due to how angry I would get from his actions. Toward the end my partner once grabbed me by my collar and I knew then that things were reaching a whole new level of dysfunction.