Cells age over time and lose capacity for sure. But that capacity loss does not create a fire risk. It just creates a battery with less and less range over time. You've heard about the general ballpark life expectancy of 800 cycles for a li-ion (really its a li-nmc) battery? Well that 800 cycle lifespan is usually considered to yield a battery that has lost... 10% of its capacity. In the grand scheme thats not a lot.
Look at it another way: There are companies out there that are using 'worn out' 18650 cells for commercial products. Stuff like home-use power walls. The cells are only down 10%-ish and that means they have been scrapped with 85-90% capacity. There is a whole secondary market building up around batteries that have reached this threshold. If they were inherently dangerous that market would not exist.
There are other things that can cause an old battery to become unsafe, but just the cells wearing down isn't one of them.
If on the other hand the article is saying that there are conditions where an older pack whose cells are out of balance could cause a fire... thats not quite correct, either. First of all, you should balance-charge your pack on occasion. Particularly if you are charging to 80% regularly to preserve pack life. But a pack with a few cells in a group that has gone out of balance is going to under-charge the cell group IIRC, not over-charge it. But a definitive answer on this risk would have to be made with specific knowledge of the BMS involved (meaning you can't be definitive). Best not to let cells get out of balance in the first place, hence the prudent action is to occasionally balance charge the pack.