"The stats no one seems to look "

Did YOU look at them?

Let's, shall we?

Overall .817 OPS.  

"runners left on base"  Jose had a .911 OPS with men on base last season.

"the last out in any inning"  .731 OPS.  Not the best.  Not terrible, but not great. 

"low batting average" .234 Literally the worst gauge of offensive performance.  Nearly meaningless.

"how many rallies ended "  With RISP, Jose has a .948 OPS..  With 2 outs & RISP he had a 1.115 OPS.  Has a 1.033 OPS in tie games.  .931 OPS in games within 1 run.  .844 OPS in high leverage situations.  
 
I think Jose is a prime bounce back candidate.  Signing him would be a good thing.