Franks Brentford in the championship where they had a competitive team is a much different beast to the pragmatic approach he took in the PL.I completely see what you're saying on the 'where he fits' sides of of things but there's a few other things to take into account here....
Frank is not managing brentford anymore. People like to call our player useless but the fact is that next season we will be back to being dominant over the majority of teams in the prem. We will almost certainly be back to trying to break teams down, finding a way through. Eze helps this massively. Dealing with maddison, eze, bergvall and porros in and around the box is going to be torture for teams to defend out.
If you see the way that brentford looked to play out from the back for goal kicks then adding eze is a dream for someone like frank. Essentially they setup in a 4 and 2 with the 2 cms close together centrally. Once played short there would be a series of short passes between them (plenty of numbers and passing lanes meaning opposition must commit players to try counter it) before springing a longer pass to damsgaard (or mbeuno) who would then recieve closer to the halfway line, hold onto it or recieve on the turn and then look to spring a 4 man attack after beating the opposition’s press. If we translate this to Tottenham then this gets supercharged with a blend of maddison, eze, johnson (in behind, finishing) and solanke (holdup and box finishing) . A 4 man attack consisting of those 4 from the halfway line is NOT what a team wants to face. You'd have 2 great supplier feeding the big man and man in behind (as johnson played for forrest) and if that fails and the attack is held up you have eze and maddison picking up the scraps.
I did make a post on formation In another thread a couple of days back. What I did was put together a team and what it would look like IN possession as though we were camped in another teams half attacking. I did recieve some criticism for it but I stand by that as being how I see our team shaping up so far as player roles and areas operating in. Porro held width high on the right, eze tucked in from the left and along with maddison they would supply solanke and johnson whilst picking up scraps themselves.
Against the big teams we really lack ball retention and control, it's like watching an u12's v men at times the way we cough it up. Eze sorts this greatly, those few extra seconds relieving pressure and picking that team mate out without panicking.
The only thing lacking in that team I posted was a dm, somebody like hjulmand would be perfect.
So to answer you question definitively hee would play as an inside left dropping off from the forward line. Very similar to mata and Silva played in there pomp.
Talking of hjulmand it's his birthday today like it is mine! Happy birthday!!
I wouldnt assume him wanting to do the same playing styles myself.