Hi Ricardo,
If I understand your question correctly you are using a Fiori tile to point to a SAP Screen Personas flavour on top of a SAPGUI for HTML transaction - is that correct?
If so, as a general rule of thumb SAP Screen Personas is not guaranteed to work on phones or tablets. There are a lot of dependencies that come into play when you are applying the scripting to transactions. It is the same for SAPGUI for HTML - it might work in a phone or tablet browser but there's no guarantee of that. So you have to test - but if it doesn't work there is also no support for that combination.
You can use Fiori on the iPhone .. however the Fiori app needs to be created using phone-capable technology - such as SAPUI5, OPENUI5, HTML5, Kapsel Hybrid app, or a native app - not just a tile to a Screen Personas flavour.
Rgds
Jocelyn