I'm sure I could run some headways till nice and hot, if I wanted to.
What's going on, is the internal resistance of a battery increases as it discharges. Near the end of your very long ride, the resistance is higher and the battery will warm itself more as you run. Running slow that last bit of the battery before it's empty is good practice.
This is true of all brands, all chemistries. The difference is the degree to which it's noticeable. ANY battery that got really hot discharging was run too hard for itself, IMO. You may be fine during 90% of the run, but if the battery got more than warm, got really hot, then you should slow down more near the end of the ride. Perfectly normal to have a battery get noticeably warmer than body temp, 100-110F, that's no big deal. But if you see shrink wrap shriveling up, feel it's very hot to touch, or hot enough to smell the heat shrink getting soft, BACK OFF. You can make it hotter if you have enough insulation around the battery, like a padded bag in summer. Great in winter, but maybe you need to vent the bag in summer.
If it gets pretty warm immediately, then you have a problem, it could be a bad cell cooking off, or just a very over worked battery. Too much motor and controller for that battery. Too small a battery will work it too hard with a big motor and controller.