If you’re making $10/hr it would take some serious discipline to save up 6 months income. It could be done, but I wouldn’t expect many would have the will.
However, I’d guess more people who “can’t save” owe it to poor choices or discipline. An example from my work life, I watched this play out first hand for 18 years:
When I retired in 2011, I had hourly employees who made approximately $18, $22, $26, $30, $34 and $38/hr. I had employees at each wage level, including $18/hr, who managed to save money and live decent lives, even put kids through college with a working spouse. I also had employees at each level, including $38/hr, who couldn’t save money and insisted (many openly in meetings) they couldn’t get by on what we were paying - “no one could live on what you’re paying AND save money, we’re just getting by.” Many of my hourly employees had more expensive cars than I did, and they came back from expensive vacations more than once/year that DW and I wouldn’t go on more often than every 10 years. Occasionally when a few of them from higher pay grades would go on a rant about pay in a meeting, I’d ask them how the $18/hr employees managed to save (I had access to all their 401k’s)? I didn’t do it often because I knew it wouldn’t change their expensive choices, and it didn’t change a single one of the complainers. Some Americans think they’re entitled to a much grander lifestyle than their jobs will support, and it’s someone else’s fault they can’t make it work.