yep, you're right, it was a T20 - I managed to fix it a few hours ago.
here's basically what I did;
confirm there's NO BATTERY in the mower and remove the red key.
front pair of screws are deep as mentioned, and I had to spray debris out of those holes to seat the T wrench. The 2 screws at the rear, behind the battery compartments, also are the only ones that had washers so, if anyone does this, watch for those.. 4 more, 2 on each side. None of the screws were very tight. And, yeah, the height adj. knob needs to come off. One thing to watch during re-assembly, there's one 'tab' i THINK on the left side near the rear, that goes into a slot. You will also need to guide the front of the cover straight down on the side of the black front of the mower. The cover sorta 'keys' into the side of the front base.
There's enough slack to position the cover to the side. I did however disconnect and reconnect every connector I could find, just to re-wipe each pin. Thinking to just improve conductance after the 6-7 years of ownership.
Unlike some of the other models, the bracket holding the cable sheath seems fairly stout and is mounted independently on its own plastic boss/mounting area. I didn't want to try to bend it. While there could be 2-3 adequate ways to fix the problem, I pulled the switch plunger out and used a scribe slipped behind the plunger to hold it out, then unhooked the spring that is on the end of the cable. I unclipped the cable from it's bracket to have some slack to move around. I bent the next coil on the spring up, cut off the original hook and half the next coil,(I had to do it awkwardly with a hack saw, a Dremel would probably be best but, be careful) , then I had a new hook on the end of a now-shorter spring. I hooked it back on, tested it and it seemed to reliably 'click' the switch plunger out. It did not before. I used medium/small blade screwdrivers, small locking pliers, slipjoint pliers, needlenose pliers I think...wasn't really 'easy' to bend the spring up, but not 'crazy hard' either.
I lubed a few points I could reach, cleaned a little under there, reassembled, tested it with a battery - seems good to go!