Rei’s balcony has other set of challenges though.
1) It would require the Miyazawas to have that window open, as per routine or by total accident.
Same goes for the bathroom window. I personally discount the front door. There are no other options.
2) The killer would have to be aware that the open balcony might be a possibility.
If we accept the premise he had been watching them, I don't see that as a challenge per se. Moreover, we know that he paced beneath the bathroom window. Why couldn't he simply have tried. He tries the bathroom window first, then goes to Rei's. Either/both is possible.
3) He goes inside, does his kills and then closes the balcony window?
Because if he had left the balcony open, then I think the TMPD might have reported it as open. Not to mention the fact that it would be very obvious that an open balcony would rather be the entry point than an exit point, as it little sense to go out by the balcony and not the front door.
As with the front door, we don't know if it was open or closed when LE arrives. But at any rate, what stops him from closing the balcony window/door?
4) Then he does the shenanigans in the bathroom, and leaves either via the bathroom window or the front door.
I don't see this as a particularly complex set of circumstances but as you say, there is a reason why the TMPD are still unsure as to the entry point, despite all their experiments. What I will say is that the front door had no blood on it / beneath it / around it. So, the killer figured out a way to clean his shoes right next to Mikio's body to walk the paces through that hall to the door. We also know that the TMPD were dusting the family car for prints. So clearly, it's beyond debate whether or not they considered him using that car almost certainly to climb on or touch in some fashion. That the TMPD have not said anything about the balcony doesn't mean much, considering their limited communication across 24 years.
All of this need to work out for the balcony to be the mode of entry. Definitely possible which is why I think the dispute for the investigators.
Absolutely.
I dunno about any investigation that rules out previous break in.
My point is based on pure logic. Its hard for me to fathom that our relatively new and inexperienced killer suddenly acquired two solids skills at one. One of breaking and entering without leaving evidence and other of relatively solid planning for his kills.
My point is that is that there is no complaint of a break-in prior to the murders. Either here, or in the area. Is it possible he was entering the Miyazawa house without leaving any trace? Yes, sure. What are we basing that on--that it's hard to fathom that he would try to climb through a window without previous break-in experience? I don't know, at some point it would have to be the first time.
He also smh knows the two houses that look quite close from the outside have no internal connections,
We don't actually know that, technically-speaking. But yes, you can see this as a self-evident truth when you are in the location.
I dunno if Mikio has any way to see the source of the noises without leaving the house or going up to that window. I don’t see a window at his level from where he could have checked that noise out easily.
He can simply walk outside and see for himself. He's done this before according to reports. From the front door to the rear of the house is a matter of a few paces. Or, he could've gone upstairs and looked out the window.
I don’t see this actor leaving a lot of stuff behind, and he doesn’t even have a hat, and presumably has less upper body strength than the killer.
Well, you would be unlikely to catch fibres being left with the naked eye from that video. But my own bucket hat would off fall my head when upside down. And we know the killer did leave his hairs behind throughout the house. But, if we accept the premise that the bathroom window is the most logical entry point, then what would be so puzzling for the TMPD?