Technically speaking, you are raising 2 different points: Valve collapse and nasal alar collapse.
Collapse or rather pinching of the nasal valve is caused by undue narrowing of the middle of the nose. This condition is USUALLY treated with SPREADER GRAFTS placed along the top of the septum to increased the horizontal space for breathing and recreate the valve.
Over resection of the lower lateral cartilages (the staves creating the tip AND keeping the nares opened) or destroying their support on the pyriform aperture can cause pinching or collapse of the nares on deep inspiration. To repair/correct this, extra-anatomic grafts of cartilage are placed to stiffen the alae to prevent the pinching and these are CRURAL EXTENSION GRAFTS.
The septum is ideal for BOTH of these grafts, the ear cartilage a close second. I have never encountered an ear which was totally unsuitable, although I am sure that if the patient had a history of operations to the ears, that may be the case.