Not necessarily because users can identify AI apps, but more because due to the lower barrier of entry - the space is going to get hyper-competitive and it'll be VERY difficult to distinguish your app from the hundreds of nearly identical other ones.
Another thing that worries me (because software devs in particular seem to take a very loose moral approach to plagiarism and basic human decency) is that it'll be significantly easier for a less scrupulous dev to find an app that they like, and use an LLM to instantly spin up a copy of it.
I'm trying not to be all gloom and doom about GenAI, because it can be really nifty to see it generate a bunch of boilerplate (YAML configs, dev opsy stuff, etc.) but sometimes it's hard....