[Responded] Pet NPC cannot follow across unclaimed lots or in to/out of lots that are open to me.

Lot navigation is really tricky. Here's my understanding of how they work.

The scene/Town has a big navigation grid across the whole scene. Sometimes we call that grid the navmesh. The navmesh is "staic" in that we generate it once and it doesn't change unless we manually regenerate it. NPCs need that navmesh to be able to walk around. (Player characters also need it when the computer takes control of your character, like when you sit on a chair or lie down on a bed.)

Each lot has its own "local" navmesh which can change depending on what exists in that lot, namely the type of house. There are several points on the local navmesh that act as "bridges" to the scene's main navmesh. When an NPC is able to walk on and off your lot, he does so only at a navmesh "bridge." That's why you'll see an NPC go a bit out of the way when going on and off a lot, because they need to cross over at the "bridge."

There are objects (some decorations, doors, deep water, and more) that have an "NPCs can't go here" quality to them. Usually that quality is very tight to the shape of the object, but in some cases (like doors) that "no walk" area needs to be bigger than the objects itself).

Sometimes the "bridge" gets blocked. It's possible the navmesh needs to be regenerated, but it's also possible that there are objects with a large "NPCs can't go here" quality too close to the nearest "bridge" and thereby blocking it. If the NPC following you has a lot of trouble doing so, possibly because a navmesh "bridge" is blocked, it may decide to cancel the following attempt and teleport to you.

With all that in mind, I think there's a good chance you're pets aren't following you across lots because the navmesh is blocked or otherwise too complicated from decorations placed in ways that make the navmesh "bridges" nonviable (or significantly less viable than teleporting to you). If you're in control of the lot where you mostly have these problem, try moving some decorations away from the edge of your POT and see if that changes anything with pet following. (You may need to restart the scene for best effect.)