You have 2 terminoligys:
Lamenitis where the lameni looks stretched like an akordian (the hoof rings seen from the outside).
Founder where the lameni has seperated from the hoof wall and the hoof is inflamed.
Stretched is a somewhat new term for me, I believe loosie and the others are referring too overgrowth in the toe area where you can see the lameni has stretched between the sole and the hoof wall.
The terms 'laminitis' & 'founder' are essentially the same beast, but people use & understand them in different ways. Eg. They can be used interchangeably, to mean any level of metabolic or mechanical breakdown of the hooves. Some think of the term 'laminitis' as the metabolic, systemic stress(often relating to feeding grain, IR, etc) and think of the term 'founder' as the mechanical changes(eg P3 rotation or 'sinking') that can come out of laminitis if it's not treated effectively.
Some, as I've come to do, think of them interchangeably but that laminitis is the 'proper' veterinary term & founder is the 'lay' term. Eg. You can have 'low grade' laminitis without obvious hoof changes, you can have acute or chronic laminitis, with or without mechanical changes. So... that, I'd say you can treat the mechanics with trimming alone, but not the underlying laminitis *unless it's solely due to mechanical stress*. Or you could say, with the second description, that you can treat founder by trimming alone but not laminitis, or a horse who's hooves are well managed will not(I'm sure there are exceptions, but...) founder but it can still suffer from laminitis.
Clear as mud??