Imagine someone stole something from you, that you value at 100 USD. Then when you try to convince them to give it back because they took it from you, they say

Imagine someone stole something from you, that you value at 100 USD. Then when you try to convince them to give it back because they took it from you, they say "Ok, I'll give you 100 USD but that doesn't mean I'm admitting I took it, I just don't want to deal with it", wouldn't you take it as that person actually admitting they took it, although they don't want to confess to it? Imagine that defending yourself in court was going to cost you $250,000 regardless of whether you won or lost. Wouldn't you just give them $100 with the caveat that it's not an admission of guilt?