Alternator doesn't charge house batt until press emerg start

sounds to me like its been rewired

the EMG start relay is usually NOT a continuous duty relay and would normally burn out in short order
also NOT normally a latching relay

normal operation would have included a diode based isolator to do the battery charging and a light duty starter type solenoid/relay for the emg start

you can change this system back to factory, but i see no problem with it the way it is , Except for remembering to push the Button to start the process