Clearly he would have to get to and from WHF and seeing the bicycle at his house in Head Street would lead someone to assume he may have used that. He had to get in and out of the house so this would lead someone to speculate about which window. You say you follow the evidence BUT you always try to make it 'fit' without looking at the alternative - Jeremy said he 'INTENDED' to use the bicycle PRIOR to the murders not that he DID use it because after the murders, he said he'd hired MM. It's not Julies contradiction, it's Jeremy changing the story before and after the event. Were does Julie mention being told about the scuba suit, I thought it was RWB who mentioned that? She already knew he dyed his hair because she helped him do it.
Exactly, there is no contradiction between saying he told her he was planning to kill them and to get there and back using his bike but after the murder he told her he changed things and had someone else kill them.
RWB was overthinking things. Jeremy had all the time he wanted to wash up and change his clothing before calling police. There was no reason he had to wear any protective clothing beyond gloves. Moreover, the crime was not very bloody so even though the killer would be hit with some spatter it would not be large amounts of blood that were extremely noticeable at first glance. He was not examined thoroughly for blood in his hair or tiny spatter on his clothing. His clothing was not examined until a month later after it had been washed. There is no way to know if he retained any clothing he used during the murders or got rid of it all.
A jacket had what looked like spatter on it but it had been washed and a month passed from the murders before police seized it and testing of it was inconclusive. Had they not returned it to him and kept it all these years they could have tried DNA testing or other advanced testing to try to assess the composition of the stains but they returned it to him and no one knows what he did with it so we will never know.
In a situation where police immediately get to a scene after a murder and someone little opportunity to change or wash that is a much different situation. Then the speculation about wearing coveralls etc comes about. Like on TV where you see a crook removing painting coveralls and sticking them in the trash before they are picked up by police. In real life people have tried such things and still been found to have tiny bits of blood in their hair. They were immediately tested though. Jeremy wasn't.
Julie didn't take RWB's claims though and advance them. From the time she first came clean to police she did not change her story by claiming Jeremy admitted to killing them. Her story was always that Jeremy told her he wanted to kill them and of ideas he had, called her after the murders to tell her they were dead, and later that day claimed he didn't personally kill them but rather hired a hitman to do it.