...many smaller coaches with dedicated 'fridge' inverters are simple inverters with no 'automated' transfer relay/switch... they are not designed to run in-line with shore power, but to ALWAYS power the fridge, whether on Shore POwer or not....
the Shore POwer, when available, will allow your CONVERTER to continue to charge the batteries as the Inverter powers the fridge, so no worries - let the Inverter do it's job.
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