I think to myself, What's more likely?
1. April is estranged but living 15 mins away from Nick, with her new mystery "boyfriend" (who flipped Nick off in an incident that Nick keeps changing in time), with April supporting herself via some mystery job or pile of money. She lied about moving back with her relatives far away for reasons unknown and is living near Nick for... reasons.
2. Nick is bullsitting everyone, concocting stories to conceal the fact he's still secretly seeing and supporting April at cuck shed 2. Perhaps he's trying to keep it a secret from his Kayla, his extended family, the probation officer, or the court.
It's not impossible for #1 to be true, but it just seems so far fetched.