Hi Scrutineer. I've just had the same issue as you. Mecer 1200Va inverter on lead acid batteries for years. Changed over to lithium battery and two weeks ago after our latest loadshedding the inverter pops.
I opened up at it looks like the rectifier bridge blew. It is a GBU 1010 unit. 1000V 10A.
I'm going to see if replacing the blown part brings the inverter back.
It seems that the charge circuit doesn't reach the lithium battery peak voltage and the system just keeps pushing power in. This seems to result in the components being under load the whole time and eventually failing under thermal stress.
Hope this gives you somewhere else to look to repair the unit.