The one back to the wall would usually be a Pressure Relief Valve (PRV) blow off from the boiler, which should really be down to the ground as the other one is. The other one, that is down to the ground, then not too sure about that one, depends on what it's connect to. It wouldn't normally be the boiler as well, as that's would only be the PRV. If that accessway is communal and well used then they could be run to the outside.
As far as that statement is concerned then he's talking $hit - if nothing happened with those pipes then there would be no point in having them. They small one and probably the one down to the ground are safety release outlets and are there if a problem occurs, worst case then boiling hot water/steam could be released, if the longer one is a T&PRV.
Ideally they would both be down to the ground and surrounded by a cage.
What do the deeds state with regards to that accessway and it's use? Usually these are halved down the middle but given what the pipework pertains to then there could be a safety issue if there was an activation of one or both safety devices.