It's the other way around. WebApps at the time would have been a complete joke since mobile browsers were so limited. At least that's how I understand it. He just didn't want any third party apps. He wanted to make every app in-house. (For example the original YouTube app was an in-house project.)
It sounds crazy but at the time the wild west of apps on the desktop meant that the user experience was pretty poor and allowed malware to explode.
It has been said that Microsoft's failure to fix these issues is really what drove web application development. No one realized a viable alternative was to lock down the device to a single store/publisher and then take a 30% cut.
Now that WebApps probably could replace nearly all native apps, it's in Apple's best interest to not fully support PWAs, WASM, etc. because the app store is so lucrative.