It should still work.. you may however have trouble with the Dynamic DNS part. The best and actually only proper solution is to pay for a static IP from your ISP.. then the whole problem of changing IP goes away. Anyone who seriously wants reliable remote access will do this.
Some people have got the global DNS to work.. just look it up.. I personally have a static IP.. since for me access that is reliable is important so I really cannot tell you how to do it.
The other solution is use a non apple router... Apple deliberately make their routers conform to the apple network requirements.. that means there is no valid method to access files from an ipad.. since apple have not provided a method to do that.
SO the other right solution.. is to push the Apple routers to bridge mode.. if they are not already.. and replace your current router function with a vpn router.. these are maybe a $200 for lightweight business type.. you can buy even cheaper ones that run third party firmware.
There is vpn app built in or available on all OS.. iOS, Mac, everything. The router will have standard ddns clients built in that work.. and vpn is secure.. the method used by filebrowser I am sorry to say is not secure. It is actually something I recommend against.. since opening ports for SMB in internet routers is asking for trouble and the only port that seems to work is so obvious.
If you want the access.. spend the money and do it right way first.