Hi, I've been told by or rather it has been suggested (SloCo) that I should post my questions here. It's rather a long thread to read through all of it and so I'm sure I may find the answers in here already, but at the risk of being flamed, told off and disparaged (as on Stack Overflow!!!) I'll give it a go

Be gentle I am ignorant.
So I have built my first e-bike. An alloy framed, carbon forks, 26inch wheel road bike (Forme Longcliffe 4.0), flared drop handlebars (23.8 mm (15/16″)).
I bought a 250Watt, 36 volt Tongshen TSDZ2 mid motor drive. I had also (inadvertently) obtained a 48volt battery and flashed the Tongshen with the stock 48v firmware.
At first I couldn't understand why I wasn't getting up the hills, but then wondered why I had a split cable up from the motor to the 850c controller. The unused end was 3 pin. I had thought it was for a brake sensor (that I had been told by the Chinese seller OKFeet on Aliexpress) wouldn't work with the controller. Then I noticed amongst all the bits and pieces a thumb throttle that I thought had come with a 560c display that I was intending to use. I don't think it did now.
I took a chance, plugged it in and bam, power. I've just had my first road ride since I flashed the motor and attached the throttle and I can't tell you how pleased I am with the power I got and how I can now get up the hills without having a heart attack (I am 61, 5ft 10 and 115kg and very very unfit).
Also that I can still get moderate exercise by pedalling on the flats and up gentler hills. It's great.
However, I now have a number of questions that show my lack of conceptual understanding.
I thought that this motor reacted to torque on the pedals and that using the assist levels would provide, well, more assistance? I have not noted this. There seems to be no difference if I pedal slowly or faster (my normal cadence according to my karoo bike computer is high 50s). I changed the assist level from 0 to 5 and didn't notice anything.
However, when I push on the thumb throttle I get power. It takes a little rotation to kick in and then there is a quickly increasing gradient of power. I even managed to get about 27kph up one long hill - don't tell the cops

(It was just great.)
I did try changing the assist levels, but I didn't seem to note any difference, but perhaps my ride was too short to check and changing assist level and changing throttle at the same time is a little unsafe I feel!
So, my questions, after all that are:
Is the throttle taking precedence over the assist levels?
Is the throttle still relying on me pedalling - I did, because I wasn't sure if coasting would be a bad thing, so I was loathe to try it.
Is the throttle necessary? Can the bike be changed to what I thought it would do which is provide assist when I pedal (harder). Though in truth I'm not sure if this is what I would end up doing. I quite liked getting up the hill in this mode, it was why I bought a motor in the first place. (Should I have perhaps gone for the Bafang - oops sorry, I guess swearing isn't allowed here!)
As to the throttle though. It seems to be designed for a right hand operation on a mountain bike type handlebar (22.2 mm (7/8″) ). I can not find one designed for a larger diameter bar?
I think a left hand operation would be best for me. But how the heck am I supposed to mount it? I jimmied a mount, but its not great.
Are there alternatives? I note from my reading that it is a hall sensor. I think that a potentiometer would do a similar thing, but of course without the auto return to zero or perhaps some switches and resistors might do the job, since ot seems to me that I either want the assist or not. Any thoughts.
I'm assuming that it would be a bad thing to have the throttle on and be braking - hence the spring return?
Also I have a hall effect brake sensor, bit was wondering if this could be wired up somehow as it seems to me a good idea to cut the motor when braking.
One great thing about the throttle is when going through lights or starting off from traffic lights. It feels so much safer to be able to get through these without struggling to get to speed.
Thanks for your patience folks.
Gordon
(Moderators, please feel free to move this if not appropriate in this thread.)