I'll try to tackle this for you.
There are 2 separate issues there, kind of mixed together - cell tower pings and wifi connections.
AFAIK, it has never been stated, by SG or anyone, that BK's cell phone ever connected to the wifi at 1122 King Road.
In the PCA it is stated that BK's phone was
utilizing cellular resources that provide coverage to the area of 1122 King Road on at least twelve occasions prior to November 13, 2022.
Call that 12 pings, if you like.
In an interview when commenting on these 12 pings, SG says "and close enough that his phone was touching their wifi".
When I am out and about, my cell phone automatically tries to connect to any nearby wifi. I assume it's a setting you can turn off. When it identifies a nearby wifi signal, it takes note of it in case I want to connect to it. This is "touching".
Take note that I would have to have the password etc to actually connect to a nearby wifi signal, and I assume that BK did not have the password for the router at 1122 King Road. And I doubt he would use it to connect even if he did have it if he had nefarious intentions.
Anyway, it is possible that the router at 1122 King Road kept a log of the various cell phones that were within range and touched it. Undoubtedly LE took the router to examine it for such logs. This may be why the monitor at the crime scene for weeks had this monitor display:
ETA:
Photo source