Concerning the tweets currently in question (initially found
here and
here):

April twice over made the claim that their portrayal of events is less harmful to the children than what others would have to say (protective even), while also making the distinction that their version is "true" and everyone else is spewing "lies". April also includes Nick in whatever was communicated to the children.
One way to look at this is that Nick and April have
directly explained to
at least one of the children the the real reason why the woman who has slept in mommy and daddy's room for months was at their house, the role she played in the initial arrest, and why that shouldn't bother them.
Alternatively, she is implying that Nick and April have
indirectly explained to the children the the real reason why the woman who has slept in mommy and daddy's room for months was at their house, the role she played in the initial arrest, and why that shouldn't bother them
by blasting it on social media and hoping the children eventually find it there.
Either of the above would be desperate attempts at defending her misdeeds while feeding her need for public exposure as a righteous act. Much like Nick, April won't allow herself to take ownership of wrongdoing. Instead, April tries to shift the focus on everybody/nobody in particular by claiming that them and their non-specific "lies" are the real villains here. Couldn't be her own actions pre/post-arrest... Such is the way of April "someone did this to me" Anderson.
Nick trying to run defense by avoiding any kind of clarity at all costs is old hat. This tactic has never done him any favors and has only made him look even worse.