I think that Lawrence Smith (btw,most of the time when ppl are using a fake name,usually it's a simple,common one,like Smith),is just someone on JR's side.As in,'ok,some ppl are never going to believe that Patsy didn't do it,so they might as well believe that JR had nothing to do w. it until after the fact'.
I don't think it is a matter of being on John's side, I think it is a matter of looking at the evidence.
I think the evidence quite clearly shows the work of one person. If you pry the door open for other possibilties without any basis for doing so, you throw the entire investigation into confusion, including the intruder possibility. If Patsy didn't do it alone, then maybe she didn't do it at all?
One reason people think John was involved is because they don't think he behaved properly that morning. What they don't consider is how events that morning may have unfolded.
First of all, you have to put aside all notions that Patsy was incompetent. Just because she was a women doesn't mean she didn't know how to tie knots, or wasn't vaguely familiar with stangulation devices, or wouldn't remember lines from movies.
She may also have had a plan. Maybe she couldn't deal with telling John what happened. Maybe one of the main concerns for Patsy that morning was that she couldn't face John. She wanted him to know but she couldn't bring herself to tell him. This may explain a major part of the ransom note.
We don't really know what time John got up that morning. Maybe Patsy waited downstairs until she heard John finish his shower. She then started her act regarding the ransom note. My guess is she got him to come downstairs and met him on the second floor so she could show him JonBenet was gone. We don't really know what they did regarding Burke. People should stop saying if John really thought JonBenet was kidnapped he would have raced into Burke's room and talked to him. We don't know what they did regarding Burke. We do know Burke was downstairs during the 911 call.
When they get downstairs, the ransom note is laid out on the floor. While John is reading the note, Patsy calls 911. The police arrive just minutes after the 911 call.
My guess is the ransom note worked. We can only imagine what must have been going through John's mind.
So here is the question. What was John supposed to have done?
He had minutes. He had no idea how long it would take the police to arrive at the house. In that time he must have put Burke back to bed and ran up to the 3rd floor to get dressed.
When was he supposed to run around the neighborhood looking for JonBenet? When was he supposed to conduct a full search of the house? When was he supposed to have a sit down with Patsy and find out what happened?
In this situation why would he stop friends from coming over? Why would he not want Burke out of the house? I doubt he believed that ransom note any more than the FBI did, but what was he supposed to do about it? Isn't it possible that by the time John finished the ransom note Patsy was already on the phone?
I think this explains why he intially covered for Patsy. You can't uncover what you don't fully understand yourself.
If John was helping Patsy with JonBenet then he was at risk of going to jail himself. Patsy was extremely vulnerable that morning and her mouth could have sent John to jail. Nothing in his behavior shows he was concerned about that. His behavior shows him to be off trying to piece together a puzzle and figure out his options. And regarding Burke, put yourself in John's shoes, do you really want him around to see how this unfolds.