Welcome, first challenger!
That is quite an extensive first strike, so let's get right to work by countering the premise of your theory.
The victim's room is entirely soundproof when sealed: this includes the sound of knocking.
As you already pointed out, calling or texting the victim to lure her out would have left a suspicious trace for the police to easily uncover.
No such trace was found in the investigation, aside from the record corresponding to the call shown in the narrative.
As for the rest of your theory, it features a substantial flaw by not accounting for the specific way the Lightning Lock works. As shown in the narrative, this system requires a fairly elaborate procedure to activate and its control panel is located away from the door (see the map for reference). How could someone activate the Lightning Lock without triggering any alarms over the course of the procedure you described, considering it can only be activated while the chain lock is engaged?
That said, I will reward your efforts by countering the rest of your blues.
First, concerning the keycard...Wouldn't such a throw through the narrow gap in the door be very difficult to pull off and have the keycard land where it did? And wouldn't it be very dangerous, since there's no guarantee Phil would have enough time to do it without Aki noticing? It's hard to predict Aki will take a full minute to search the lab or that he won't dodge the foam, after all.
If you're still not convinced, allow me to eliminate these two windows of opportunity you suggested.
Aki never lost track of Phil while they were together, even as the foam fell on him.
It never covered his head/eyes, after all.
While Aki was searching the lab, there was not enough time for a person in the antechamber to throw something inside the victim's room through the gap in the door and then come back to the antechamber.
Now, when it comes to setting the chain, you proposed using one of the art pieces as a tool. However, the statues were specifically described as "bulky". And the police would definitely have noticed if any statue or other art piece looked suspiciously like a tool made to tamper with locked rooms.
In other words,none of the statues featured any parts that might fit through the crack in the door, let alone help tamper with the locks.
Furthermore, there's an assumption in your theory that doesn't quite check out.
Super-silver is visually distinct from normal silver.
The police uncovered no such super-silver tool in their investigation.
And getting rid of such a crucial piece of evidence is definitely not a trivial matter for the culprit to overcome, given the circumstances.
I think that should be everything barring the motive, right?
At any rate, I will be less lenient in giving out reds after this opening bout. Looking forward to the next shot!