Honestly, she has no idea what to say to even try to help. So she doesn’t say anything like that, instead she says,

“…well from the way I saw it he was being a jerk. If he shows up i might punch him.” She grumbles.
Ugh. She doesn’t understand why this feels different than scouting information. Maybe it’s the lack of akechi asking her to do it? She has no strong opinions on Igor, and this was seemingly his idea?
Ugh, confusions.
But she feels like she needs to offer something in compensation. She knows deals, she knows exchanges, she saw one of his memories, so she…
“I know you haven’t given anyone your name, and I don’t like that I know it now without your permission.” She wanted to earn that trust! And now she can’t. “Also… it doesn’t feel fair that know a memory of yours now but you don’t have one of mine” she knows exchanges, she doesn’t think Kou trusts her enough to just go off of good will.
“So, I can tell you one of my memories, so we’re on even ground?” She offers. She had thought about it a lot on the way over. She wants to make the offer. Even if Fenrir was growling about how it was a bad idea to just offer up a weakness to others you’re unsure you can trust yet.
But It felt fair.