That would have been so much better, or at least have Oram try and back away as soon as the egg opened and attempt to shoot the facehugger when it jumps out but its speed out manuevers him and it manages to ambush him. I mean look how fast the facehugger moved when it attacked Cole and Lope.
In Aliens when Ripley and Newt are trapped, she tries to keep it in sight but she ends up losing sight of it, and then it next appears above her when she triggers the sprinklers and surprises her. They are capable of being really sneaky and cunning.
There is so many ways for Oram to have got infected without him being so careless.