Every position should be represented in the Hall of Fame. Ortiz is unfortunately not even close to the greatest DH to play the game. Take a look at Edgar Martinez who put up nine 5+ WAR seasons at DH. Career wOBA of .405 is insane.
Ortiz has been one of the best hitters in baseball the last few years, unfortunately he hasn't played enough years at that level to justify a nod to the hall in my mind. Will he make it? Probably, and Edgar probably won't. The Hall is a sham.
Edgar
http://www.fangraphs.com/statss.aspx?playerid=1086&position=3B/DH
Ortiz
http://www.fangraphs.com/statss.aspx?playerid=745&position=DH
Your link has proven that Edgar did provide more value, yet they were two different types of hitters. From a pure value standpoint, if Papi gets in, then so should Edgar.
However, the two hitters brought different things to the table. Of significance is Papi easily trumping Edgar in ISO, or isolated power: .260 to .204. Edgar was a better pure hitter if we look at batting average: .312 vs .286, albeit having better luck (BABIP .335 vs .312 for Papi, lower is better).
A couple of other things that I think makes up for the WAR difference between Papi and Edgar.
1) To reiterate the above,
Papi handily beats Edgar in ISO, or power numbers.
2)
Papi was more clutch in the playoffs. Yes, Edgar was a bit more clutch in "Late and Close" situations of the
regular season, but that doesn't compare to the postseason when pressure is at its highest: .962 OPS vs .873, .295 average vs .266. For those concerned about small sample sizes, Papi did this in over double the Plate Attempts of Edgar: 357 vs 148, which makes it even more impressive. To put it simply, Papi's postseason numbers go up vs his career average whereas Edgar's went down vs his career average. Is Edgar's 148 PA's a small sample size? I don't think so, especially when making the argument for the greatest DH of all time. Edgar simply didn't produce when it mattered most, i.e. the playoffs.
3) As a result of #1 and #2 above, Papi was/is more feared in his era.
Proof: He led the league in intentional walks (IBB) last year (2013) with 27, and is leading the league in them this year (2014) so far. This is a man who is in his
18th season and plays in the same league as superstars named Cabrera, Pujols, and Bautista.
Who has ever lead the league in IBB in their 17th and 18th seasons? Nobody except Hank Aaron and Barry Bonds. Papi has finished in the top 8 or less since 2005 and is 4th overall among active players only behind future First Ballot HOFers (Pujols, Cabrera, and Suzuki). Power commands fear because it can change the game with one swing. Edgar never commanded that type of fear in his era. In fact, Edgar never led his league in IBB, ever.
4) Papi had to play in an era against more advanced metrics, which led to more ABs against the shift. Let's cut the BS, Papi is still putting up sick numbers while having to deal with the shift on most ABs. Want proof that the shift is being employed even more last year?
http://www.billjamesonline.com/whos_shifting_and_whos_not/
If Papi continues to put up big numbers this late in his career, especially against better metrics/tactics like the shift, then you have to put him on par with Edgar in my opinion. Regardless, they were both the best DH's of their eras and if one got in, the other should also get in.