They were certainly popular with Ford, and I'm not sure when they stopped
- I think some of their vehicles well into the 80s were still using them, long after everyone else was using the pre-engaged type.
I've seen some vehicles where a worn starter can turn the engine over, just not fast enough for it to fire up - but the OP should be looking at battery, plugs, leads etc. before worrying about stuff like that, I think...
cheers
Jules