I was reading this string because there appears to be a leak somewhere under my water heater but not a big one. It has rained like mad here for the last four days & yesterday afternoon the sun came out for a while so I decided to sanitize my h2o system. The dripping you describe is EXACTLY where mine was dripping after I hooked up the city water line. It continued to drip (but less??) as I filled the holding tank and futzed around with that. The pex and connections & valves all seem fine. I don't know how to look under the water heater. The opening and recess for the "chimney" & thermostat pilot blahblah was totally dry. The water heater is surely the original and so are the furnace and stove.
Should I consider repair or replacement
It goes to the Airstream dealer on the tenth for a complete going over by a pro - I hope the news is good.
That way I just have to refit the bathroom sink drain and put new washers & packing in the bathroom sink and shower faucets & away we go!!