Are you using some universal macro that either summons the pet or revives it if dead? I’ve never had an issue calling a pet while in combat.
They can be while swapping from target to target but never leaving combat but if you dont leave their dash on autocast and only use it when needed then you avoid that problem.
xD I just re-read OP, I probably should have asked if they were a new player or not, I just assumed they were because of the question and worded accordingly.
Arithawn raises a good point about macros. I’m way too lazy to take dash off autocast there are enough CD’s to watch imo, and until DF haven’t had much of an issue with it. But if you’re going for higher end content might be the way to go.
But for real, there is a bug with pets basically RP walking to each target and I assume this is what OP is talking about. The normal means messing with your pets usually fixes it, if not troubleshoot. This expansion has been hit or miss for some people. Either its really buggy and lagged, or overall smooth.
Sometimes I feel like a new player, but no actually, been playing since 2007.
As far as Pools, yes it was the upper ring, but no there were no ads. Sent my pet to Kokia and on the way poof, pets vanished. Happened again on Kyrakka.
Have not tried a macro, but will find one and use it once I get into keys tonight.
Perhaps the old - /cast [nopet]Call Pet 1; [mod][]Revive Pet - still works?
Don’t know why my profile says I’m 60, been 70 for some time now.
There are a couple spots on the upper ring where you run for a bit before getting to the next group. I haven’t had a pet unsummon from this, but I have had a doubletake of “where’s my owl?” 
Lol maybe it’s because I have my cobra, killcommand and a few other abilities full of pet macros. So the second I hit any of them, my pets instantly go for that target.
Yup! 
Those work super nice. Well, until spider boss in raid when my pets are like… pathing? What’s a path?
Just tested this: Landed, dismissed the pet, attacked a mob, called up the pet and it appeared instantly. So no, not having this issue.
As for the other question, my pets do lag behind me a little but they catch up very quickly when I stop. I recall having some issues early on, especially with things like warlock pets, but haven’t seen any real lag/delay in pet movements lately.