This questions supplements the existing: how to refer to a source with typos in the title, where OP spotted grammar mistakes in the title of papers mentioned in the reference list and wondered whether or not they should correct them.
As a major con:
The purpose of references is to help readers locate your sources as easily as possible. Correcting titles might give the impression that you are referring to another work.
But what about mistakes that have little to no influence on search engines or paper identity such as, for example, punctuation and missing accents?
In my specific case, an important keyword features an en-dash and the french circumflex accent. I find it written in four different ways in the titles of my bibliography.