Riven can't threaten anyone until level 2 or 3
Her Q and passive alone can deal upwards or 250 damage at level 1, she's definitely threatening at lv 1.
Renekton needs level 2
He can however outrade anyone with his Q and easily gain that early level 2 with his AoE.
Pantheon takes until level 2 or 3 to become threatening (until then, even his spears don't do much to you)
Jayce doesn't do much to you until level 2 or 3,
Quinn only bullies you because range versus melee...
I'm just going to handle all 3 of these together because they do the same thing, they use the threat of ranged damage to zone you while having a backup to make sure they outrade if you aggress on them. Panth has his shield, Jayce has an extra spell and his absurd melee passive damage and Quinn just E's back.
All of these champs have strengths that allow them to start winning lane at level 1, Irelia on the other hand does not. Her spells are janky on their own, if she starts Q she can force but never outrade, if she starts W she can outrade but never force and if she starts E she can turn aggro but not really force or outrade unless the enemy goes far too aggressive into her. Even at level 2 this problem persists. She absolutely needs all of her spells to function, unlike the other champs listed and her spells have a lot of power in the /lv portion (other than Q) which leads to her hardest powerspikes being at levels 5,7,9,13 and Triforce, which by the way is a terible item to try to bully with because the stats on the components just can't compete with something like a Serated Dirk and the complete item comes super late compared to a Black Cleaver.
I don't think it matters which way you cut it, Irelia's really not a lane bully. Sure she can bully certain stupid picks into her like Yasuo but the majority of champs who go top aren't pressured super hard by her early.
If the OP was looking for an extra champ Gnar would have made much more sense.