And that's before we consider the much stronger user control presented by the open web. I can run an extension like uMatrix and take back control of my browser. On mobile now I can't even proxy and inspect the network requests that the apps are making without resorting to insane hackery tricks.
The more these things evolve, The more against native apps I am becoming.
This isn't unique to mobile vs desktop, but from my experience people use those different device types with different levels of care. It's possible app stores play into this by giving people an incorrect sense of security about aspects of application usage and updating that they don't actually provide.
My personal hypothesis is this is the reason that app stores are filled with so much trash. The app store provides a mechanism of discoverability that would otherwise never be available to such apps.
And this then leads to what you're talking about, which is the stores actually feel less safe than the open web.