Of note is that before zionism, Jews were able to go to the kosel freely. The Arabs stopped it because they had this paranoia about al aqsa mosque which to this day makes them go rabid whenever a Jew goes near it. This is by design – there’s a serious issur in going on har habayis.
So when zionists use the kosel as a trophy of victory and pride, it’s really just undoing the damage they inflicted.