I will agree it’s not a serviceable pump. I have a Honda powered washer with a serviceable pump, it calls for 15-40 and every 100 hrs for the pump. The engine calls for 5-30 (if I remember correctly). I use rotella 5-40 in all the small engines around here (even the kubota )
the oil you pictured is for a serviceable Simpson pump and not for the Honda engine
the oil you pictured is for a serviceable Simpson pump and not for the Honda engine