I think that we have a vocab issue. I don't think that we agree on the definition of deadtime. I suspect that you mean "the time constant of the pulse processing electronics" or the "pulse processor throughput setting". When I say deadtime, I mean deadtime = realtime - livetime. It is a duration measured in seconds and redundant when you have both #REALTIME and #LIVETIME.
I'd be fine with storing the pulse processor throughput setting in the file but these settings are detector specific and would only be "informational values". Various vendors quote them as "low/medium/high", "60 kHz/130 kHz/...", "1/2/3/4/5/6". In the old days you could say "12 µs", "25 µs" shaping times etc. However, with digital pulse processors, the "pulse pair rejection time" depends on the energies of the previous and this x-ray and so isn't a single constant value. Some use multiple process chains simultaneously to adapt to each x-ray pair. X-rays that arrive in quick succession are measured with a short time constant while x-rays that are well separated in time are measured with long time constants on a xray-by-xray basis.