Let's take a look at this logically, shall we, about what each side has to gain from lying in this instance.
What does Riot Tantram have to gain? Pretty much fuck-all. Let's just take this from a purely selfish standpoint without even taking into account the fact that Tantram is a human with empathy and a desire to do what is right: what does Riot have to gain from lying about your chat logs. Tantram bans one player amongst the many in the game. Cool. That's not even really a gain in and of itself. The only thing that's really gained is refusing to admit the system if flawed. Okay, perhaps that's a small gain. But take a look at the consequences. If it's proven that Riot is indeed lying, not only is the gain completely swept away, it also ruins Riot's credibility and especially that of Tantram himself. This could actually have a detrimental impact on his career because having the primary face of player relations be proven lying to those who are banned is exactly the opposite of what Riot wants.
And let's look at what's happened in the past. Tantram has, in the past, fully admitted when the system has been wrong and reversed bans, occasionally done manual reviews and taken an accelerated punishment down a tier, and in one highly unusual case reversed the ban of a player with genuinely toxic logs with major extenuating circumstances (the only toxicity had been while playing a custom game with nine friends and those friends reported them as a joke, all nine rescinded their reports in the thread so Tantram let them off with a stern warning). There is an established history of Riot posting honest chat logs and fixing their player behavior mistakes to the best of their ability, making it highly unlikely that they would ever lie over such a trivial matter as this.
What do you have to gain from lying about this? You can claim to discredit Riot, get some payback for them banning you, and take out your frustration at your ban on a convenient target. You can get some support from the people on these boards who believe that the punishment system is evil and will rally behind anyone trying to "stick it to the man". And what do you have to lose? Not that much, really. This is an anonymous account on the internet, you can easily make another one and begin posting from that and nobody will be the wiser. You'd have to make a new one to continue playing anyway because your current one is permabanned, so it's not like that's any extra effort on your part. All that will happen is the short-term derision of those who disbelieve you.
And let's not forget your insistence that you'll post the chat logs "tomorrow" rather than taking two seconds to screenshot them and post them. This is a huge red flag that you're going to attempt to modify them heavily to fit with your view of events rather than post the true logs. There is literally no other reason to delay on posting those screenshots, none that you can justify in any meaningful way.
tl;dr: Logically, you have more motive and less to lose from lying about this, which when combined with Riot Tantram's history makes it immensely more likely that you are the one lying here.