RIP Rea. This is so heart breaking.
It is very possible. It seems for he did use the single father angle to gain trust and lure women into his life.
I see this as well. Almost like building the family, or "obtaining a prebuilt family" so he could destroy it, as a way to gain control over his wife divorcing him and losing the first family. He destroys it first, he leaves them first, eliminates the potential loss, sick role playing.
Most likely, over time, the women had the same concerns or "complaints" about behaviors. You drink too much, we live in poverty and you promised great things, you flirt with other woman, etc. and these "complaints" recreated the toxic rage/shame from the initial divorce resulting in violence. Then needing to "start over" to rebuild. There is a huge possibility much of his identity was tied to his first wife holding everything together so long. So he lost a huge sense of "self" and obviously could not recreate that. As children age, they also push boundaries. Older children might ask about their dads, causing an insult to his ego.
I do not believe he was "inactive" during gaps in the timeline. I am sure there are others. I do think as Lisa got older 5-6 her "efficacy" at being the lure to attract more females diminished his single father with a young child angle to build trust. And of course, that she could recall things and kids do say random things.