DocWagon is a AA-Corporation itself, which means that, legally speaking, their HTR Teams are probably looked on as Soldiers (Or "Aggressive Security Forces" or whatever PC BS name they're given in the 2070s.), and any step over extraterritorial land would most likely have to be done with permission or else cause the Corporate equivalent of a "International Incident".
They work on UCAS Soil as part of a contract that probably limits where and what the teams can do ("No shooting at Metroplex Guard Soldiers or Vehicles that have IDed themselves" in Seattle, for example.). The AAA-Level Corporations probably have their own medical facilities on major sites, and require "A polite vid-call" before a HRT is allowed on any other property.
But we've moved away from MilSpecTech, so...