Can't see the Scholes comparisons. Perhaps with the younger version who got into positions behind the striker to score but Scholes always had a wondrous passing range both short and long allowing him to control games in a way few others can (Gerrard and Lampard were praised for their Hollywood balls but neither could control a game, impact it yes but both needed an Alonso, Makelele behind them to set the tempo, hence why they worked abysmally together for England).
I don't think Barkley quite has that, I think he is better at doing it than Gerrard or Lampard was but not in Scholes/Pirlo/Xavi class (not because he's young but because he just doesn't seem to play that way or have the brain or range for it)
I'd see him more as an Iniesta or Zidane type player (not a direct comparison before someone calls me a kopite). As in he has the supreme technique required to link play anywhere in midfield, can punish the opposition offensively, and can impact the game and influence the outcome on an individual level.
What is beyond doubt is he is already one, if not the premium attacking midfielder in the premier league and is head and shoulders above some of the players in his position internationally. Leagues above Henderson, Milner, Lallana, Delph, Mason etc.
Dele Alli is a good player but I don't think he has done anything Ross hasn't done. If they swapped shirts all the hype would only be about one player and that would be Ross. If he was at Liverpool Spurs or United he'd be getting the credit he deserves for the outstanding season he's having rather than getting knocked pillar to post every time he plays for Englsnd and doesn't win the game singlehandedly for them.