Is it better for people with frequent breakouts to avoid using cleansing oil?

hello.

I apply sunscreen every day and remove my makeup with cleansing oil.

Also, I am thinking of using cleansing oil to thoroughly remove my makeup even on days I wear it, but I am hesitant because my skin is sensitive and prone to breakouts.

I am interested in cleansing oil because I heard it effectively dissolves heavy makeup and sebum, but on the other hand, I am hesitant because I have heard that it can clog pores and actually cause more acne or breakouts.

Is it better for people with troubled skin to avoid using cleansing oil at all?

Or could cleansing oil also be perfectly fine depending on the ingredients or how it is used?

If there are actually people with acne-prone skin who are successfully using cleansing oil, I am curious to know which product they use and how their skin has changed after using it.