That's false: Telegram doesn't have access to secret chats.
In reality almost no one bothers with secret chats (no syncing between devices, no backup and no group chat possible). Instead everything is stored online without E2E encryption, i.e. perfectly readable for the service provider.
Sorry, but "everything" != "almost everything". So it's false that "Telegram has access to everything you do and say".
False, I use them.