I don't think I can agree with this conclusion. Hamas has considerably lower approval ratings and there is also far less support for violent action like October 7 in Gaza compared to the West Bank. If what you said were true, then we would see the opposite effect. Here's a fascinating poll from a Palestinian research organization on this:
I think directly experiencing the enormous discrepancy in fighting power between Hamas and the IDF, especially at the scale of a full-on war, has been a sobering moment for many Gazans.