Does download apps when on Wi-Fi go into your cellular data plan?

I have a iphone 5s but is on limited plan so if I use home internet to download apps instead of the cellular Wi-Fi will it go onto my bill? Btw I have turned off the cellular data too.

Wi-Fi calls, downloads, internet, (anything Wi-Fi) does not use up your data plan.

No. Wi-Fi doesn't count towards your data usage.

I think you download ok