IMO no walkway from the driveway or at least not where they come to the mud roome door first . I like walkways to the front door from the street but i have no idea how your home is situated .Also the mud room door the same color as the siding can help hide it why the privacy wall at all?

You make the walkway to the main door more obviously the main one. Currently, you have the same pavement. You could line the main walkway with flowers. You could have an interesting edging.

Use special plantings to signify that one door is the main door.

Place the address numbers on the privacy screen.

keep the mudroom door locked, they'll figure it out

Do you use the mudroom door? If not, place container plantings in front of it.

Mudroom door should be a solid door with no glass and painted the stucco color.

Add matching privacy wall to the right of the main walkway over to the driveway with matching hedge. Add two of the small palms in front of the hedge. Place one to obscure the mudroom door. One large palm matching the one shown to the far left would also work to hide the door.

In addition to camouflage-coloring the mudroom door, be sure to paint the main entrance a bright color that draws the eye.

That's the issue with any privacy wall. : ) Not welcoming. Put bold black house numbers on the privacy wall, left of the main door. A heavy dose of colorful landscaping. A bolder different door color for the main, and stucco white for the mud door..

Note: Your friends will come to the friends/ mud door, despite that. One reason why the mud door is often called the "friends " door. Rain? All bets are off.

Why do you need a second (front-side) doorway at all? Don't you enter the mudroom through the garage?

Don't plant a solid hedge to the right of the main door. Keep the area open and visible. You need to make it more welcoming--hard to do without straying from that design. Maybe a trellis and flowering vine, a seating area or a fountain in front of that plain section of wall.

I have a similar problem. Friends come to the mudroom door (closer to the driveway). Delivery and tradespeople come to the front door. Go figure. It's been this way for 20+ years. You have some good suggestions above (unfortunately won't work for my house).

For people to know which door is your front door, they first need to SEE it.

As others said, get a plain flat-panel wood door with no windows for your mudroom door. Paint it to match the siding.