EVSE is nothing more than a slightly more intelligent extension cord with a special plug.
120 or 240 Volt from the wall goes in and comes out at the special plug.
There is some extra information for the EV how much amps it is allowed to pull from the wall/plug.
That is it.
So sense does not detect the EVSE. EVSE is just a pass through of energy.
What sense is able to detect is the built in charger in the EV.
Each charger has a certain pattern how it starts and ramps up the energy till it has reached the amps the EVSE has told it to go to.
When my friend comes to visit me and charges his Ford Focus EV (has done that at least a 100 times in the last year) the sense is not able to detect the charger.
But my chevy bolt is no problem being recognized.
Long story short: switchting from 16A EVSE to 32A EVSE will not matter in detecting for sense.
I limited my max amps on my EVSE to about 80% of what my EV is capable (26 amps out of 32)
Depending on how much solar is available I change the current while charging during the day.
At night I still go with the 80% of max for longevity.
Sense would fairly quickly stop recognizing my EV when the amps would go below eg 23/24 amps.
But recently i was able to go down to 8 amps and still being recognized
As I posted here: Improved EV detection? - #2 by dannyterhaar