The interior of the Partridge home was shot on a set. But, in episodes where there are shots from the exterior of the Partridge home through the open front door, there is a wall seen a few feet beyond the door. However, in the scenes from the interior of the home, there is no wall in that spot.
In almost every episode there are no monitors or speakers for vocals and never any Amps for the electric guitars.
The Partridge Family was a well-known enough group to obtain a booking at King's Island amusement park across the country from the California home, but not wealthy enough to travel in a chauffeured coach or even by air to most of their other gigs.
Either they are a minor local group or they are nationally known; the two cannot both hold true. But then, I obviously have absolutely no idea how the music business works.