No, not in the era of "progressive web apps", which is really just a little bit of branding around interconnected APIs. The Cache API in particular means that a webapp can be downloaded and made available offline on a permanent basis. Unless it isn't actually permanent at all, which is what Apple are doing here.
The web and the App Store are just delivery mechanisms for code with different trade-offs built into them. Apple have added an extra trade-off on the web side in the name of privacy.