HI there,
Ok I have a battery I can connect also, time permitting I’ll try it out tomorrow.
SO is it the Touch interrupt callback not firing? when you enable the WiFi ?
Well some good news is it all the newer BSP and LIB’s so there’s that 
Is the fail , it freezes or doesn’t work at all? the wifi shouldn’t block Albeit but microseconds if so. Touch should still register.
HTH
GL 
PJ 
Your close ,you’ll get it , seems timer related. I’ll try 