The best claim I like is how Roberto's first season is somehow better than Pochettino's with Spurs because they haven't got 72 points...yet. Spurs as a minimum will be top 4 and are currently fighting for the title, 2 things we never did even in that first season.
Looking back on that season we could have overtaken Liverpool had we won the Anfield derby. We lost though, and whereas they kicked onto title winning form we floundered around, then won a string of games when there was absolutely zero pressure, then bottled it once we were actually in position to achieve something. That season cannot be compared to what Leicester and Spurs are doing this season going away and winning at City, Leicester beating Liverpool and Spurs, long winning runs, all under the intense pressure of a title run in.
Quite simply a different level of football, the physical and mental aspects combined, that Martinez has never reached in his time at Everton. The Arsenal home game in 13/14 is probably the only game which had positive pressure attached to it (as in we needed to win to achieve something) that we've actually performed in. All of the rest: all of the derbies, Arsenal cup QF, Kiev away, City away, Palace home 13/14, we've choked and not performed. Just nowhere near the mental fortitude that Ranieri and Pochettino have instilled in their sides.