I think the paparazzi probably finds Eva quite boring. Any such photographs I have ever seen have been of her at charity functions, events she has hosted, , sometimes at movie premiers(sometimes with Kaya, sometimes not), spa or boutique openings. All in all not really "meaty" or obscene kind of stuff that that paparazzi can sink their teeth into or use to embarrass someone. I also do think Eva is well aware that you don't make enemies of the press. They can destroy your career.
I actually was able to locate two photos of Eva and her fiancee together at an event she was hosting some time ago. I tend to get the feeling that we're not going to see many photos of Joe. Judging from the photos I think Joe is camera shy and probably is going to avoid media attention. Sorry, but in my efforts to locate the photos again have turned up zero.
I did see a video once of Eva shopping in some LA boutique. Eva seems to prefer small boutiques and stores. A small gathering of photographers had gathered outside and were snapping pictures. Eva smiled and gave them a wave but other than that all she was doing was looking at clothing, talking to the salesperson, trying on a piece of jewelry here and there. WHAT WERE THESE PHOTOGRAPHERS EXPECTING? That she was going to have some sort of wardrobe malfunction? SPARE ME, PLEASE!! Sorry, folks I could give you a link but some recent searches leads me to conclude that this particular video isn't up anymore.
I have no doubt that Kaya is the biggest reason why Eva lives under the radar. Heavy media attention can be toxic for a child.
To the paparazzi, what's so exciting about an actress that live a low-key life, dates a man, lives close to her family (sisters/mother/brother...) , is seen shopping here and there, occasionally shows up at events, drives her child to and from school, and does not engage in depraved or out-of-control behavior? Nothing, that's what! So what's the point in pursuing her.
It does look as if Eva knows how to keep it real.