Log odds understanding

Here is my understanding of one reason why we prefer log odds over odds probability. Please let me know if I got it right.

Reasons why we choose log-odds-

The range of probability values: $[0,1]$, The range of odds values: $[0,\infty]$, The range of log-odds values: $[-\infty,+\infty]$

Probability odds lie in a restricted range, while log-odds doesn't. When values lie in a restricted range, the correlation between variables falls.

Following is an example where correlation between 'Hours spent studying' 'Test score' reduced after the range was restricted.