But surely if I can send a film to the TV without any other apps then the image of a Web page should be just as simple to send for the device and the TV to receive at the end of the day it's only an image like a pic or a film which is multiple images in sequence
You're not following at all.
Start with DLNA again. Aka for Samsung - Allshare.
Take a screen shot of your web page.
Now you have a picture to send, not before, because now you have a picture file.
With DLNA, you only have files.
Just like sending files to your Google Drive or Dropbox or to your PC.
With DLNA, you make certain files available from your phone and the TV - if it understands them - transfers the files and shows them - whether pictures or a movie.
Just like your pc - after it gets files from your phone, it shows them.
And if DLNA isn't built in to your phone, you need an app for that.
That part you have working.
Miracast devices and Chromecast, plugged into your TV, take live feeds of your screen from apps that project your screen to the device.
In addition, Chromecast can also deal with files, similarly to DLNA - with a different app. Also, Chromecast takes feeds from services like Netflix.
Samsung makes an Allshare device - not what's built in to your TV - that also takes a live screen feed from a Samsung phone.
If you want to feed your screen live, you need a device for that.
There's no third way.