The bike has a dispaly with little to no adjustability and a controller with voltage-based PAS. I primarily use PAS, not throttle, and I much prefer an adjustable power-based PAS.
If your controller has a PAS that is even variable output (meaning the faster you pedal the more assist you get) then it's already in a class of it's own, as almost all PAS on almost all controllers is not variable, and is only on/off based on the assist level (if you pedal at all, you get full assist at that level).
I was considering replacing the display with a stand alone Cycle Analyst as a solution, but also considering installing a new display/controller, as I am not aware of another device like the cycle analyst that could allow for a "simulated" power-based PAS from a voltage based controller.
The CA will read the battery current being used, and base the power or current the assist is taking on that, and modulate it based on your settings and limits placed in the CA menus.
So as long as your controller has a throttle-only mode, where it doesn't require the PAS to operate or be connected, then you can connect the PAS sensor to the CA instead, and the CA throttle output to the controller, and the CA will operate the controller based on your pedal cadence. This is how I use it on the SB Cruiser heavy-cargo trike.
As for replacing your controller's display...you will still need that display to change assist levels on the controller (if the default power up level is not what you want), and to change settings in the controller, or see it's error codes. You also usually need it to turn the controller on, though this part can be worked around by hardwiring the controllers "KSI" wire to battery positive, or to a switch somewhere that does this.
You can put the display (or the CA) anywhere you want that's convenient for you to access it when necessary, including inside a saddlebag or whatever--neither one *has* to be on the handlebars. If you need to change modes or presets on the CA, you can get remote handlebar switches and/or knobs to do this (DIY or ones from ebikes.ca already designed to work with it).
I don't know if the available options in it are useful to you, but you may want to look at the Lishui and KT open source firmware threads. These are replacement firmwares for those brands of controller that provide more options and better input control than the OEM firmware does, and might have an option that lets you skip the CA to get the output you want.
Also, the KT controllers have versions with "torque simulation", which use the PAS assist levels to control battery current (torque) rather than motor voltage (speed)...but I think they still just are on/off at whatever assist level you choose--if they are variable based on cadence, that's good because it would be like what the CA can do.
In either case, I wanted to avoid cutting any OEM wiring if possible by adding an extension to the existing connector(s). So for the display/controller option, I wanted to avoid cutting the OEM wiring between the motor and controller, figuring it would be relatively easy to find a new female connector to wire an "adaptor" from the L1114 to a more common L1019 or other common type.
If you can find an L1114 extension cable it'd be easy to cut in half and use however you like, but I haven't found anything with that connector on it in a few minutes of googling.
There probably are some that don't use that number in their pages, but you'd have to do an image search and look at the many results individually to see if they are the right one, or you'd just have to ask every seller of extension cables if they have one and hope for a useful reply. If you have to do the latter, I'd ask
sales@ebikes.ca too, even though they don't list this in their stuff they may have some anyway in an experimental parts bin.