No, he wasn't. There weren't even telegraphed programs available at that point. He was banned for using a UI plugin, the very one I mentioned. You have no idea what you're talking about. The telegraphed programs are a recent thing which essentially show the mechanics for you. They aren't what Bagel and Hiiro for banned for back in May. Both were using the aforementioned plugin and one had triggers. You can debate all you fancy on if triggers are cheating but adding numbers underneath buffs isn't. That's absurd. Against the ToS? Absolutely. They shouldn't have streamed it. That's on them. It isn't cheating though.
Yes, he did. He specifically talked about overhauling the UI and adding elements from some of the more popular plugins. Which is precisely what Bagel and Hiiro were using. He didn't name the actual plugin for obvious reasons but for those who know of or even use it, it's fairly obvious which one he was referencing.
... what are you on about? They did no such thing. There were two plugins available immediately after they announced removing the AFK dodging people were doing by clicking market boards or opening their HUDs. They never touched either one of them despite both working by essentially masking key commands to trick the timer into thinking you pressed a button. The dungeon bots are less prevalent now because SE removed the gil drops. Instead, they've made their homes in map dungeons and Eureka. We've even had several threads about how Pyros is infected with bunny bots. Guess what SE has done about it? Absolutely nothing.
No, it isn't. Most players don't actually care about third party tools because it doesn't impact them whatsoever. The vast majority are coming in for the story, social aspects and whatnot. If that weren't the case, SE would have banned FFlogs and ACT a decade ago when they were first release. They never have despite the former gaining so much prominence in the raid scene it impacts the meta more than even the dev team. Don't believe me? Selfish jobs were never an actual problem in Stormblood. FFlogs made them one because bringing one meant actively hurting your ranking. Hence why White Mages everywhere were constantly asked to play Astro. That changed in Shadowbringers when they introduced rDPS/aDPS. Mods have created a scandal already with Ryne. Guess what? SE never did anything about them.
At this point in time, the estimated number of players using third party tools exceeds 300k based on just unique downloads. SE isn't attracting anywhere near enough players to replace the sheer number they would lose to offset banning them all wholesale. Hence why they never have.