There is difference between mountain warfare and HAW.Of course in the forested Kashmir valleys situated in the comparatively lower altitudes,the Para SF personnel are invincible.......there's simply no denying in that.And I wasn't exactly speaking about this matter.
What I was talking about,is operations in extreme high altitudes (above 18-19000 feet ASL).At those altitudes,the Parvat Ghataks would definitely gain the upper hand over the Paras or anyone else for that matter.These units are raised,trained and maintained specifically and solely for operations in extremely high altitudes.But the Para SF personnel have to train in a plethora of different terrain and environments ranging from high altitude mountains to densely vegitated valleys to temperate forests to marsh lands.Then there is various room intervention and CQB drills which comes with their SF tag.So quite naturally the Parvat Ghataks would take the lead when it comes to operations in the high peaks.
Again,I'm not speaking about operations in the forested Kashmir Valleys of the comparatively lower altitudes.
And by the way,you got it right.I came to know this things from a retired Indian Army Lt Colonel,he had been a student in the High Altitude Commando School,situated in Tawang.And yeah,his views regarding the Ghatak troopers was quite favourable.