To me, it gave new weight to Han's comment regarding 3PO "talking to the Falcon."
And 3PO being scandalized by the Falcon's gruff and vulgar manner. The TLJ novelization had a fun tidbit mentioning that R2 got along better with the Falcon's computer because it got bored and enjoyed gossiping while working, and R2 was more into drama than 3PO, who's all business (and whining). It didn't go into it, but I realized that while R2 had slept through the past five years or so, the Falcon had been stolen long before that, so he'd still have updates even beyond whatever he caught up on before he and Rey left.
I'd assume his parents died sometime between him being old enough to remember them and him being 19-or-so at the beginning of the film (probably when Han was around 10 and started running scams on the street). There could be something to him not using his birth name with the recruiter, or he might've just fallen out of the habit.
So, I glanced at the Han Solo Wookiepedia page and did some quick math, for context. Han was 10 when the Clone Wars broke out, and 13 when the Empire formed. You can probably spin out quite a bit on how the economy of Corellia was affected.
For instance, Corellian ships seem to generally be private-owned. Small freighters like the Falcon, still-fairly-small-by-Star-Wars-standards ships like the Corvettes the Organa family owned, and larger freighters like the one Han had in TFA. It seems like all the bit military ships were built by Kuat. So, war[!] breaks out, government demand for small transports and whatnot like the one from the beginning of TPM (also Corellian-built) craters, and one of their main economic competitors starts soaking up a ton of business. The planetary economy is hosed, shipyards are either closed down, bought out, or converted for military production, and guys like Han's father get the shaft. Things probably only got worse when the war ended, and the new Empire started ordering Star Destroyers like they were going out of style and didn't care under what conditions they were built so long as they were, and fast.