Disrupting media operations by blowing up their facilities and equipment is clearly deleterious to their ability to report news. You claim that media organizations are largely unaffected but speculate that Hamas operations in the same building are affected. I find it difficult to wrap my head around the mental gymnastics required to believe those two things simultaneously.
It's like saying without evidence, "Verizon's operations in the World Trade Center were basically unaffected on 9/11, but Morgan Stanley's operations there were crippled."
There is a difference between media uploading media files and posting articles and for example intelligence/command center that have physical termination of multiple, physical secure lines of communications.
Media can take their laptops, get out and keep on uploading stuff 5 minutes later.
In case of intelligence/command center it will takes weeks to bring all the physical lines to new "secure" location in the city and to get/hookup whatever equipment is used to terminate them.
It's like saying without evidence, "Verizon's operations in the World Trade Center were basically unaffected on 9/11, but Morgan Stanley's operations there were crippled."