Yes, there must be a whole generation of fire safety practitioners who, largely, don't recall the distinction we used to make between an enclosed route and a protected route. Kurnal, I don't think there are any current guides left that continue to support the need for that extra line of fire protection before we call an enclosed route a protected route (correct me if I'm wrong). Standards have dropped.
Tadees, in general the travel distance will stop at the door to the protected staircase. Remember that there are two stages of escape from HMOs, hostels, etc. The first stage is getting to the door that leads from the flat/bedsit/room to the protected staircase (possibly including a corridor) and this is where travel distance is considered. The second stage is down the protected staircase to the exit. The staircase should be protected to the appropriate level, according to the applicable LACORS, CLG, ADB, etc guidance, so there is no need to consider travel distance within it.
Yes, people may have to pass the doors to the rooms where the fire is but that is why the current guidance recommends the various levels of protection.
Stu