>Would suggesting a call to a suicide hotline be as insulting?
That depends a lot on context. In some cases, yes.
>What if the app carries out similar functions as a hotline?
Who would you talk to? A volunteer? What happens when 4chan gets their hands on this app?
>Unless suicide is a case where you're likely to do more harm than good
See: https://news.ycombinator.com/item?id=6757098
As for displaying a hotline number, you can find that information on Google. Literally search "suicide" and the first thing listed is a phone number you can call for help. If the app is just a number of a suicide hotline, then it's a pretty pointless app.
What may be more useful is a collection of services and communities (ie. suicide hotlines by state/country, communities like /r/SuicideWatch, general information). However, that sounds a lot like a website and not an app.