Already have. Nothing post combustion is "hot" enough to cause valve sealing failure. Everything after the combustion even int he cylinder is post combustion.
People can believe whatever they want. Suffice to say, lots of bad info is being passed out here.
I've said my piece and I'm done with it.
Re: cat converters. They do not need O2 to function. At least not in the strictest sense. The first word is "catalytic". It strips NOx into nitrogen and oxygen. Does so by running the exhaust over a (usually) platinum substrate.
RE: air pumps, They introduce air into the exhaust stream to further complete combustion of unburned hydro carbons in the exhaust stream. Adds a little extra O2 to the stream for the oxidizing section of the converter (Where CO is processed into CO2). There is sufficient O2 in an exhaust stream after combustion for this anyways. Has nowhere near enough volume or pressure to do anything but join the exhaust in a downstream path.
Re: DPF. Diesel particulate
FILTER. They burn nothing by intended design, they trap particulate matter (IE: soot). They only time they "burn" anything is in the new trucks when they hit a temperature such as to complete combustion with the soot or the PCM goes into regen mode (because the filter media becomes loaded) which runs the engine hot in order to get the DPF hot enough to combust the soot into less harmful particulate/emissions.
Re: backpressure. Learn how a 4 cycle engine works.....