i.e. are they 'generators' or 'recipients' of detrimental waves/parasitics?
For the most part, no. There used to be a heavy black line marking the end of a capacitor connected to the outer foil so the cap connection could be oriented towards the least positive side of the connection for the purpose of acting as a shield. However, this makes no difference. I used an oscilloscope to determine if the noise level was greater on either side of the capacitor and there was virtually no difference, using a common brand of cap. I always refer back the the days gone by when, (ships were made of wood and men were made of steel), ah, ooops, wrong analogy- Days of old when circuits were hand wired point to point and the noise levels were acceptably low. See the post on point to point wiring for some excellent images. I believe, and I could be wrong on this: Caps lack the inductive capacity, (at the low to shortwave band) to develop sufficient signal voltage for the purpose of retransmitting an incidental signal.
* Should smaller (both voltage rating and size) caps be used for bypass caps where there is little to no DC (e.g. cathode or voltage divider feeding a grid?). Or does it make any difference (e.g. 650v cap vs 50v cap)?
You want to make sure the voltage rating of the capacitor is matched to the DC voltage that will be present . However at times it may be convenient to use a larger voltage rating cap as you may not have the smaller and more appropriate size capacitor on hand. Just don't use a 50V cap where the anode voltage is 150 VDC. At times the AC rating of the capacitor will also be a factor but for the most part, standard brand caps at rated voltages suited to the application will work fine.
I would infer that the builder is trying to move those caps as far from other components as possible to minimize 'transmittal' of the highest gain pre-amp signals back upstream?
More likely they are moving the caps to the tone pots to reduce the number of components on the PC or TAG board. The caps don't have to be moved far from other parts of the signal path.
Keep in mind, crossing the paths of input and output circuits can very easily cause a problem with feedback. However, those areas of the amp are usually naturally separated to opposite ends of the build.
Regards,
silverfox.