I think you're overestimating the amount of energy released in a single fusion event and underestimating the machinery needed to generate and focus the laser pu

I think you're overestimating the amount of energy released in a single fusion event and underestimating the machinery needed to generate and focus the laser pulses on the hohlraum. Remember there is no fusion chain reaction, the thing would need to keep on pumping pellets into the "primer" while firing laser pulses to keep the energy flowing. Compared to a 'simple' fission primer with a neutron reflector I don't really see the gain in a laser-primed fusion weapon, at least not one in the line of current fusion bombs.