Seriously, the hyped up "supercapacitors" tech articles love to refer to in the vaguest terms these days are actually boring old "Tants" as used on just about every board you might care to pick up from the last 20 years? Never seen on explode that wasn't backwards.
A typical lead free solder alloy such as SAC305 has a melting point of 217C, to ensure every joint reaches at least this temperature some parts of a PCB can easily hit 250C, most lead free process compatible components can handle up to 260C for a few seconds. The reflow profile for any given product is tuned such that all components reflow while staying within their defined limits for ramp rate and maximum temperature. In the more common convection reflow process this is achieved by selecting an appropriate speed for the conveyor through the oven and the temperature of the hot air forced through nozzles in zones along the length of the oven. The alternative is condesation/vapor phase, whereby the PCB is immersed in a vapor and so heats evenly and gets no hotter than the boiling point of the Galden used.
You don't hand solder surface mount parts, if you find yourself needing to, your process is shit. More to the point what would be the point in that device being surface mount? Hand soldering a component with a soldering iron infers heating first one lead then the other, this induces stresses (thermal and mechanical) on the component and it could snap in two.
Automated through hole soldering processes do exist in numerous forms:
Flow Wave - the whole pcb runs over a wave of liquid solder, only really works if the underside of the PCB has no components on it (OK only true at the pitches involved here).
Robot - an arm that essentially mimics manual soldering.
Selective Soldering - The PCB is moved in x and y over a very narrow wave of molten solder soldering only the required areas.
Pin in Paste - place the though hole part with your surface mount machine, and reflow it on your surface mount process
Of course as Mike says, none of this matters, or helps you choose a drive.
On the pictures I have seen from reviews of consumer grade drives, the zoomed in detail of banks of capacitors appear to simply be high capacity MLCC capacitors - probably something like X7R or Y5R. (on the basis of them not being black/yellow/orange and having no polarity markings). These are far inferior to Tantalum based caps in many respects, unstable and they degrade over time.