Keep or toss backlinks?

I am new to this job, and there is a lot of legacy decisions to re evaluate. One of them is to keep or toss these backlinks?

We focus a great deal on SEO, and the cost for keeping the links is not too much for my budget at all. However, I am having trouble deciding if the domain rating is high enough for us to keep spending money on it.
I am aware that I cannot tell the future as to what happens if we opt out of the collaboration with the site.

My mailbox now has a mail from the people behind the site, telling me that is is dangerous to downprioritize the worlds biggest search engine, and that AI searches will be affected too.
I don't want to argue that, I just need you guys to help me estimate just how much trouble you'd say I was in, if we loose the links :)

Btw, they say they created a total of 42 links to our site. How do I verify this? I can only find these 2 here..