It's nothing about hurting your sentiments , or berating Udhampur in any manner . The thing is that,

1. Long distance trains to Jammu/Udhampur/Katra are mostly taken by tourists/pilgrims to Mata Vaishno Devi , and the rest of the crowd is constituted by locals and Army personnels . Based on my personal experience, Even when in 2008-2011 when Jammu mail and USK used to originate/terminate at Udhampur , they were filled/emptied mainly at Jammu Tawi . Udhampur is an important district of J&k , no doubt , but cannot provide...
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a patronage like Shri Mata Vaishno Devi Katra or Jammu Tawi do.

2. Some weekly trains at Udhampur (except Janmabhoomi) to durg, Indore are running upto Udhampur, due to space constraints at Shri mata Vaishno Devi Katra.

3. The connectivity (bus/auto/taxi) at station have improved, but the station is located rather afar from the main city, and lacks seamless round the clock road connectivity options to Vaishno Devi Shrine and beyond , in comparison to Jammu and Katra stations.

4.Jammu Mail provides a dedicated connectivity from many small and big stations to Delhi .Today, It has 7 sleeper coaches in comparison to 2 in trains like USK . If 22431/32 is not getting filled up / running relatively vacant from Udhampur , it should have been considered for extension to Katra by adjusting TT and making it daily . Messing up an old dedicated connectivity of Jammu region to Delhi is not a very sane decision by NR in my opinion .
You may disagree here , but I respect all varied opinions.

5. Some railfans do at times prefer to address stations by their original old names , be it Udhampur , Allahabad , faizabad or Mughalsarai. They do not intend to offend you , No need to be annoyed about it .

19225/19226 Bhagat ki kothi Jammu Tawi & 18309/18310 Sambalpur Jammu Tawi crosses Bharoli Junction twice (due to Reversal at Pathankot Jn )

14041/14042 Mussoorie Express crosses Muazzampur Narayan Jn and Fazalpur twice ( due to Reversal at Najibabad Jn)

06245/06246...
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Hosapete Harihar Unreserved Special Crosses Davangere and Amravati Colony stations twice (due to Reversal at Tolahunse). ( It stops at Davangere two times !)

17307/17308 Basava Express crosses Tikekarwadi and Hotgi Jn twice (Stops at Hotgi once) (due to Reversal at Solapur Jn)