My take is that when dead, you are an object, and not a legal target for most powers that induce conditions. This would end them.
Well, if you talk about what you expect to happen, then it kind of depends on how the status was induced, doesn't it?
For example, if you were immobilized due to being ensnared in a goblin's net, well, then you don't expect the body to be untangled "simply" by bleeding out, while you if you were dazed and blinded by a flash of light, then those conditions would pretty much be superseded by your new status...
Compare with forced movement - if the forced movement was induced by simply pushing, throwing or netting an unconscious person, a dead body, or a physical object - then you'd expect the forced movement to work, while if the movement was caused by compulsion or trickery, then you would not.
(Imagine if you will an encounter that played out as a forced movement tug-of-war, both sides trying to carry off some kind of McGuffin object...

)
The problem is that this kind of separation on
how an effect is applied isn't supported by the rules - there are no keywords or effect lines that relate to this. Thus, it all ends up to the usual RPG fallback -
the DM decides.
So, the answer to what applies to a dead body when it comes to conditions, forced movement and other effects is "
it depends", I'd say.