Whether can build gateway for LAN network

hi all

I have a idea to use home-gateway/(like router box) as ipfs node that all device (include mobile, stb, macbok…) without running ipfs can access the ipfs network by it.
That means to require home-gateway be used http-ipfs-gateway, but i think this is no related to private-gateway cause it need to connected to ipfs network, is it right ?

anyone has advised or even confirmed it worked.? Thanks!!!