Besides, if you're a nurse you will have a greater chance at shadowing physicians because you'll be working with them most of the times.
Just don't get complacent. Nursing isn't a terrible life. If you hustle in the right specialties and the right markets, you can just about hit 6 figures. As an experienced OR nurse, I am bombarded with travel opportunities that could have me bringing home close to 2k per week, with living expenses covered. Now... that is for 13 week travel assignments working 48+ hours a week in highly undesirable locations that can't find local talent to fill their needs. Unless you go into a specialty where call is part of the gig, like OR or hospice, you can pretty well leave your work troubles behind when you punch the time clock. When you watch several cohorts of interns become residents and then fellows, and you compare their lifestyle and the sacrifices they have to make, it is easy to decide that being "just a nurse" isn't actually all that bad.
I had planned on using the RN to pay for med school. Then life happened, and for a while, it was easy to just keep doing what I was doing, while my dreams simmered away on the back burner. I'm in a situation where my lifetime earnings will likely be less due to going back to medical school. Going into primary care, I certainly won't be making a lot more than I would have able to earn as a nurse, though I will have a lot more responsibility. And I will have traded several high income earning years for the privilege of bearing that responsibility. Clearly, this makes no sense financially. So, it has to be that I am doing this because I can't help myself, because I will never be satisfied if I don't.
A lot of nurses have the idea to use it as a spring board to go into medicine. And many of them don't realize until it is too late (as defined by their own values and calculations, not some external time clock) that they put it off too long. Many of those go on to do the NP or PA route, and some are satisfied with that. Nothing wrong with that, except those roles don't deserve to be treated as last resort options for someone who really wanted something else.
Just... take it from one who has taken this walk... if you want to be a doctor, go for it. Keep your eyes on that prize and don't get bogged down on a tangent. If you want the RN to be a stepping stone, be sure that you don't settle down there.