It's really odd by their supporters. Conte is absolutely in the top 5 managers in the World, they are a club that could afford to buy (purchase price and salary) any player he needs.
For the record I was completely against him joining Tottenham, whilst acknowledging his abilities as a manager, we couldn't have supported the requirement he needs in the transfer market, his record is winning but only having had one of the biggest spends to underpin it (Inter was no exception to this).
The fit couldn't be any better for each party.
The deep routed issue they have is failing to acknowledge that Fergie was a one-off, or an end of an era of the type of coach. The game has moved on from this but their thinking is governed around looking for a coach that could be around for +10yrs. It's why they are looking at Poch, they think he might be in this mould, I even understand the thinking about him but all the evidence supports that Poch would be no different to a Klopp or Pep or Bielsa or Naglesmann or whoever......Clubs who have embarrassed the transient nature of the head coach succeed because they have already mapped out the succession plan the day the new guy walks into the office.