Consent alone can no longer be the bar in these scenarios. The power difference is key. If her job was in jeopardy, or she would have been penalized in terms of opportunities, etc. if the relationship did not continue, then there is a inequality that can't be overcome by simply being consenting adults. The other issue which can't be ignored is that Monica Lewinsky's life was destroyed in the media, etc. She was still pretty young, and maybe naive. In any case, there was no one protecting her or looking for her in all this. Her name got pulled through the mud in ways that others in similar situation who'd done worse never had to deal with. Her name and life and career was destroyed by her involvement in this scandal because of the media's portrayal. No other woman who was involved with the President received this kind of treatment in the media.
I don't think anyone can know what it was like to be her, especially with the way the media and jokes that were made. She had to move to another country and change her name for a while to have any sort of life. So, to reduce it to they were both consenting adults who had an affair wrongfully dismisses the extent to which both their lives were so differently affected. He was almost impeached and still remained in office. And if anyone says, she what she was getting into. No, rarely, did most people especially back in the 1990s understand the long term effects of these kinds of scandals. I am not sure if he owes her an apology. But I think his response was a bit dismissive. I think it would have been better if he acknowledged that the relationship was not appropriate professionally considering she was an intern and he was the President. Clearly, he had the advantage.
If anyone is interested, watch this. Not saying it will change your mind, but it may give a different perspective: