Can capacitors be exposed to temperatures above the max. operating temp?
The page you link to talks about 385° Fahrenheit, not Celsius. 385°F is about 200°C.

This is the reflow temperature profile recommended by NXP:  




The preheat phase is the longest, and NXP recommends a maximum of 8 minutes for this. Heating to 200°C for 10 minutes for a second time probably won't ruin your capacitors, but it may reduce their life.
The most important, however, is the peak temperature phase, where the temperature goes for a short time (about half a minute) to about 250°C, depending on package volume. This is the phase where the actual soldering takes place.
Just the preheat phase may not be sufficient to cure the solder joints.