I lived in one for 8 years, and my mother continued to live there for another 10 years after that. It was an established park in a fairly rural area; mostly singles and families, not retirees.
The issue with the pipes is extremely important; even in the deep South where we lived, freezing pipes were an issue. A bigger issue for us was that we always had problems with hot water in winter, because we were on propane, and the vented door to the hot-water-heater compartment was on the exterior of the trailer. Like all trailer doors (more on that later) it was flimsy and poorly insulated, and strong wind invariably managed to take out the pilot light on the gas water heater. I vividly remember the endless number of times I had to go out in the pouring rain, dismount that door (it was on slip-joint hinges), remove the flame-guard, re-light the pilot, reattach the guard, and then remount the door, struggling with it in the wind; it usually took at least an hour, and often we just boiled water for baths for a couple of days until the weather cleared so it would be easier. I cannot imagine how nasty a chore like that would be in a place where snow and ice are common occurrences. (Water heater technology has improved since then, but be aware that trailers still usually put the non-electric utility access panels on the outside for safety.)
Here is another serious issue re: storms and tornadoes, and if you fail to make sure they are up to code, your home will be uninsurable: tie-down straps. These are steel straps that are anchored in the concrete pad and pass over the roof of the trailer to be anchored the same at the rear. You want to inspect them very carefully for stress cracks and/or corrosion in the anchors. Here is the Indiana structual code for mfrd housing.
https://codes.iccsafe.org/content/INRC2020P1/appendix-e-manufactured-housing-used-as-dwellings
And back to the doors: One, never buy a mobile home with sliding glass doors. They ALWAYS get out of alignment when the home is transported, and are almost impossible to return to true; so you get leaks &/or a door that you can't open. They are also a huge energy leak in a structure that is already pricey to heat and cool for its size. Next is the security factor: mobile home doors normally open outward and tend to be rather flimsy, and all the locks in the world won't keep someone out if the door itself can be bent out with a crowbar. Pay very close attention to the strength of the door structures if you are proposing that a woman live alone in a mobile home.
If you don't build a porch-type roof over a mobile home, the roof will need to be re-coated every 2 years at minimum, and possibly more often if there is weather damage from ice, etc. Lots of people DIY this job for about $200, but if you hire someone it costs about $1K. In more rural locations there can also be issues with animals chewing through the floor insulation to try to find warm shelter; if the home is already on a pad, crawl underneath and check for signs of clawing or chewing.