Collins dictionary says:
If you are wary of something or someone, you are cautious because you do not know much about them and you believe they may be dangerous or cause problems.
I found some examples in dictionaries.
Brands need to be cautious about which environment they place
themselves in.They were very wary about giving him a contract
What would be the difference between wary (of/about) and cautious (about)?
Best Answer
An interesting question. The two words are synonymous for the most part. However, wary has a bit more of an emotional component in it, a feeling of reluctance to do whatever one might be wary about doing. Cautious is more of a carefulness based on reason.
From the Merriam-Webster definition of cautious (the synonym discussion halfway down the page):