What you say is completely true. 100%. Also there is NO service manual either so the manufacturer probably intended all warranty service of significant issues to be returned? Unlike major manufacturers whose products and service procedures are well documented, there only exists a schematic (like you would find with the old transistor handheld radios of the '70's). Also many manufacturers of output amp modules include a manufacturer suggest sample circuit in their data sheets and the HA1392 chips used in this BOOMBOX are no different in this regard. In it, you'll see that 1000uf output caps are used and recommended in SE configuration. No sample bridged configuration is included. However, in my experience, when such amp modules are bridged, the output caps are omitted and not used (such as on the Pioneer SK-900) and that pioneer sure is a sweet sounding radio. THIS boombox bridges those hitachi chips and retains the output caps. I'm not saying that the engineers messed up but I will that I've never seen bridged amps with those caps included in the circuit before. Also iirc and unless I'm mistaken, the bridging crisscrosses with the opposite module.
In any event, since you suspect the preamp board is not getting proper power, maybe check and see if any regulators are blown?