The Highlanders missed out on a cup final date with St Mirren when they lost on penalties to John McGlynn's side at Easter Road last month.
But some form of vengeance was gained with their 3-2 win over the Edinburgh outfit at Tynecastle on Saturday. It was only Caley Thistle's second win in eight games but was sufficient to move them back up to second place in the SPL.
Now Wales international Tudur Jones believes only securing a runners-up slot to leaders Celtic will soothe the pain of missing out on their cup final chance.
Tudur Jones said: "It was obviously disappointing to be that close to a semi-final. So to play Hearts so soon after, yes, it does play a little part in your thinking.
Asked if closing out second would make up for losing that game, he said: "I think it would. The league table is established over a long period of time and finishing second would be huge.
"The achievement for this football club would be massive but we are a long way off that at the minute.
"The first target must be to finish in the top six. If we can achieve that then we can hopefully kick on again."