Why do the datasheets of LMH6702 and ADC08200 have different bypass capacitors in the example designs?
The LMH6702 can slew its output very quickly into a low impedance load and as such bulk bypass is required for low impedance load applications in addition to the higher frequency decoupling capacitors. The application shown is generic for any load and has both the bulk bypass and 0.1\$\mu F\$ bypass devices.

The ADC08200 has a high impedance input (with the attendant low output current from the LMH6702 used in the application example) and as such does not require the bulk bypass.