I walked in the fall--September into October and had lots of rain. I would NOT have used waterproof/Goretex shoes for two reasons. One, the dust would have clogged them up big time as there are long stretches of dirt, dust and mud which do not make for a very breathable shoe made with goretex. There is a lot of pavement walking and believe me, your feet will get hot. Goretex increases the temperature inside your boot and debris blocking the venting increases it even more.
Second, once they get wet, non-goretex shoes tend to dry quicker. Clean them up (I took a nail brush and used that to give them a good going over), pull the insoles out, and stuff the shoes with newspaper and they will get reasonably dry. If it rains steadily for a couple of days (I had ten days of rain) after a while, goretex shoes are going to get wet no matter what anybody says. Gaiters help keep your shoes cleaner and put off the major wetness for a while so they might be something to consider for spring walking, especially if they are very lightweight, but not essential. In addition, my goretex shoes are heavier. I couldn't justify the extra weight--and especially now after I've made the journey. Pavement walking is hard enough on your knees without the added weight on your feet.
I bow to those who walked in the spring but I would go with the shoes you feel very good about even though they aren't waterproof. In the days between SJPP and Santiago, you will probably have many more days of sun than of rain. Buen Camino!