There is always something coming up or round the corner that tracks this, does that, etc. If you punt you have to take the consequences if you get caught. If you don't want to get caught - don't punt is the only safe way around this.
To me it would be easier to explain paying for a fuck than having a mistress, there is no emotion in paying for it, its just a fuck. With a mistress or similar then their is emotion.
My logic - flawed as it may be