ADKEM came after LOSAT. Says so right in the picture. Not sure how ADKEM/CKEM relate time wise.
The picture calls also vertical launch "virtual launch", so it's not exactly accurate, clearly.
"Virtual launch" was just a MICOMism for an orienting vertical launch, so it would include things like Swingfire and whatever the Russian anti-ship missile is that has the nose motors, because it's a mostly meaningless buzzword. The actual reason they used "virtual" instead of "vertical" is because "virtual" was the "block chain", "cyber", or "AI" of the 1990's, because such artificial buzzwords have always been necessary to secure funding.
Anyway, AdKEM and LOSAT were simultaneous, one was an advanced technology program run by DA and MICOM, and the other was a contract for a weapon system, and both show up around 1988-ish. AdKEM may be a couple years off from this, like 1989 or 1990. AdKEM ended around '98 or so (I think they kept running into issues with the guidance system?), while LOSAT ended in '03 formally, with residuals carrying the program into '04, and CKEM comes after LOSAT.
If LOSAT was considered too big for weaponization then AdKEM definitely wouldn't have made it.
It's most accurate to think of AdKEM as a laundry list of "nice to haves" for a hypothetical Follow-On-To-LOSAT than anything else. Mainly being the ability to fire from defilade, 360 degree target acquisition with a mmW radar, and elimination of the requirement for beamriding guidance. Turns out EFOGM did all that and better.