If you work, you do not parent your child 100% of the time needed. You pay someone else to look after your child while you are elsewhere. Therefore you do not parent full time. Of course you are a mum, you love your child, but you are not actively parenting them in this time. You are parenting them part of the time. Part time.
Right, so I'll ignore the erroneous assumption that I pay someone to do childcare, and focus instead on your main point: you can't call yourself a full-time parent unless you are physically with your kids 100% of the time? Is that right?
So those calling themselves full time parents never go out without their children, never leave their kids with their other parent or their grandparents, never send their kids to pre-school, home educate all the way, co-sleep every night and never let their DC out of their sight. Have I got it now?
And presumably, those parents who call themselves full time parents don't believe that parents have a duty to provide for their kids, put a roof over their heads, food on the table etc, because none of those things are actually important for a child's wellbeing, just as long as there is one parent who never lets the children out of their sight?