Strong at all stage: Hell no, Trist has an easily absuable early and mid game and really isn't the best until late game.
Longest range: Wrong again. Jinx in rocket form, Kog'Maw with W, Twitch with ult, and Ezreal Q all outrange her. She also has a shorter range than Caitlyn until she his level 16,
Strongest burst: Just no. Draven, Vayne, Jhin or even Cait (with her headshot combo) will burst harder than Trist.
Best Turret Kill: Yeah its great but its very contingent on her getting max bomb stacks. This is definitely a reason to pick Trist.
Top 1v1: No, not at all. Vayne and Draven will both murder her in a 1v1 and it'll be pretty close against lots of other ADCs.
Safest ADC: Trist rocket jump can be interrupted pretty easily and is on a super long cooldown. I'd rather have a Lucian E, and Ezreal E or a Vayne Q than Trist's jump. I agree her Ultimate is extremely useful and the best marksman peeling tool in the game and also a great reason to pick Trist.
Trist was absolute garbage a couple months ago. She's only gotten good because everyone else was nerfed and her itemization got cheaper.