The capacitors might have been damaged by overvoltage or spikes and still read nominally within tolerance, I definitely wouldn't trust them on high voltage and electrolytics are rarely worth saving (unless you really have no alternative but to recycle them)
Resistors are generally OK to re-use but you need to be careful removing them f4rm the boards because it's possible to damage them by flexing the leads and stressing the end caps however they usually show problems on measurement but they're so cheap to buy it's often not worth the effort recycling them unless they're something special.
The value from stripping boards comes form the soldering experience and the general handling of the boards and, if you're cash poor then yes, you can re-use a lot of components.
There are other reasons too, I sometimes strip old boards because the look of the components is important if you're restoring things or, occasioanlly, I just don't have the part I need in stock for a quick lash up test.