Paul Konerko is one of the most revered Chicago White Sox players of all-time, and he should be.  Konerko was the heart of a team that won the 2005 World Series and won the ALCS MVP in the process.  Konerko could hit for power (439 Home Runs), had 2,340 Hits, 1,412 RBIs, and a .486 Slugging Percentage.  

That is the good news.

Konerko’s defense was very poor, as was his speed, and he finished his career with a good (though far from Hall of Fame) bWAR of 27.6.  Still, this is a popular player with a solid career, and he received 2.5% of the vote in 2020.  He may never appear on a Veteran's Committee ballot, but he has a statue erected on the South Side, and in terms of “fame," he had it.

While Ryan Ludwick might struggle to make the Hall of Fame ballot, he does have a career to be proud of.  In 2009, he would post his best year, making the All Star Team and securing Silver Slugger honors while he was paying with the St. Louis Cardinals.

While Raul Ibanez is not likely to go to the Baseball Hall of Fame, this one time All Star should be applauded for his longevity (he played until he was 42) and ability to adapt to other key roles to keep him in the game.  This would help him accumulate over 2,000 Hits and 300 Home Runs, and enough (even though his bWAR is only 20.1) to land a spot on the Hall of Fame ballot.

Nate McLouth is unlikely to make the Hall of Fame ballot, but he did put together an All Star year in 2008 where he led the National League in doubles and earned a Gold Glove.