Questions with Chunk

I am trying to summon pets from one location to current location and returning them back. I run into two issues while testing my plugin on PaperMC v1.15.2.

Scenario 1: I setup a location far away from the spawn point and I marked it home. I returned somewhere near the spawn point. I returned a pet near where I am at back home using the command code below. It said "That pet returns back home successfully!" I traveled to that location I marked home. The pet is right there back home. It works fine.

Code:

if (pet.getLocation().getChunk().isLoaded()) {
    boolean success = pet.teleport(plugin.getHome(player));
    if (success)
        sender.sendMessage(ChatColor.GREEN + "That pet returns back home successfully!");
    else
        sender.sendMessage(ChatColor.YELLOW + "That pet fails to return home for some reason!");
}
else {
    sender.sendMessage(ChatColor.YELLOW + "Sorry, that pet got lost.");
}

Scenario 2: Then I went back to nearby the spawn point and I summoned it to me using the command code below. It said "That pet was summoned successfully!" Yet, I can't find my pet anywhere. I traveled to that location I marked home. It is still right there. Why?

Code:

if (pet.getLocation().getChunk().isLoaded()) {
    boolean success = pet.teleport(player.getLocation()));
    if (success)
        sender.sendMessage(ChatColor.GREEN + "That pet was summoned successfully!");
    else
        sender.sendMessage(ChatColor.YELLOW + "That pet failed to be summoned for some reason!");
}
else {
    sender.sendMessage(ChatColor.YELLOW + "Sorry, that pet got lost.");
}

Scenario 3: Whenever I traveled back to the place I marked home, ChunkLoadEvent gets fired, which is correct. So the chunk the pet is at must not be loaded. Then why chunk.isLoaded() returns true?

Scenario 4: I marked home near the spawn point. Summoning and returning pet home works fine.

Questions:
1. Why chunk.isLoaded() is true when it supposed to be false? Note that this question has been asked in the past topic, but since I can no longer reply to it, I am creating a new topic here.

2. Why pet.teleport() returns true for Scenario 2?

3. Why all chunks within certain distance near the spawn point are always stay loaded?