Depends on who the market is. A year or so ago I cofounded a career guidance startup, and the feedback we got from everyone we talked to was "Yes, web only. Who the hell looks for jobs on a phone?" (Interestingly, there are a lot of people starting mobile job-search startups.)

Go where the users are, not where the news stories are. If your users would prefer to use a web browser to accomplish a task, make it a webapp. If they would prefer to use a phone, make it a mobile app. If they'd prefer to text, make it a bot.