Just saying that 170 Amps for 1 minute is a total of ~ 3 Amp-hours of battery energy, so not setting the bar very high.
I’d go by actual data and specifications, rather than rule out all options just because someone thinks it’s going to take a ton of batteries. It’s not. Every system is different, and just because one person may have not been able to power a microwave it doesn’t mean much. They could have had all kinds of system flaws from bad batteries to bad wiring to crappy inverter.
It’s already being done, so not much question as to whether it’s possible with correct system. Regarding OP, I’d ask Thor for wiring details, and then decide whether it’s worth modifying (if needing revisions which is likely).
It really helps to know what equipment is being discussed. Microwave model, inverter, number and size of batteries, etc...