Unlikely that an auto-recloser will only be feeding one house unless that house is the only place supplied on the end of a long line, think miles.
Auto-reclosers tend to be near the primary substation that is feeding the 11 kV distribution lines for an area. Those lines can be tens of miles long and made of multiple sections with interconnects between different lines. Some interconnects may have an auto-recloser but most are just an manual air switch. Not sure how they "phone home" but as they are all connected back to the primary substation the obvious way to achieve the first hop is over the power lines.