I think Suicune should keep an Analysis, but if so, I think only the CroCune set should stay on there. Honestly, the set can be a bit devastating with smart playing, and with enough Calm Minds (setting up several is the point of the set), it can take on Rain Offense since it is so bulky. The offensive sets are definently outclassed, but really, Thundurus-T alone shouldn't be the whole reason Suicune should lose its analysis. Also, since it is a Water-type, it can switch into every rain-boosted Hydro Pump with the sole exception of Specs Keldeo (which sometimes 2HKOs unless Suicune takes 72+ EVs from Defense and puts it into Special Defense), so it can Calm Mind on several Pokemon in rain.
Even though Suicune isn't nearly as effective as last generation, it still can run Crocune well in some cases, and the said rain actually helps it hit a bit harder (For example, after 1 Calm Mind, Suicune does 64-76% with Scald while Tornadus-T only does 38%-45% with Timid Specs Hurricane in return). It will almost never beat Thundurus-T (or Ferrothorn), but it can set up on quite a number of Pokemon, rain or not.