You can get all the accounts to walk back personally
I use my home teleport to lummy and deposit money on the highest floor. I then load my inventory with OSRS gold of tar since they weigh a lot and require me to walk. I then walk to the port of sarim charter to zeah and then walk towards the edge of the fire fairy ring. This way, I am not need to wait for my home teleport.
Although it's efficient to avoid waiting for the teleport method that you have described, it is beneficial to have at least 75 alt accounts that you can just trade and then have them home tele for you. 75 accounts should be enough to ensure that you never get a shortage of Lumby Teles, and you can get all the accounts to walk back by using a script you hand-make by hand.
The most important rule in RuneScape is: Don't ever without reason be a nuisance to anyone else regardless of the reason, regardless of the circumstances, regardless of where, or who you are with or where you're going, or wherever you've been never, with any reason whatsoever.
Learned this the hard way the last night. I was chopping the maples and explained to the other (who was originally planning to stay to his 2 branches) that it's best for us all when we each choose to stick to two trees instead of each competing for 3. I think he didn't appreciate that , and had his family come to the tree and then follow me around and chop the tree that I was in for a couple of hours. I eventually stopped paying attention to them and outlasted them, as I assume they got bored of their own conversation and tried to force me out of the spot.
I'm glad to be able to see the bright side of this though. A dozen people stopped their activities to earn subpar XP working on a skill that they probably would not like to train as well as attempting and fail in snatching me out of the room.
I am a sucker for outlasting people. When RuneScape gold first launched I was in search of an ocean of sand crabs, and this level 40 or so guy is killing top 2 players at this spot, and the bottom two were untouched since the first one he killed would respawn way before killing the second. I began to kill the lower two and he advised me to hop, but I just kept killing. He returned with his main weapon and started killing everyone with an axe. He stayed for around 2 hours before he finally left lmao.