My suggestion is not a full design proposal for you, just a quick response to BO calling me out on my concept...

A parallel arm lift would be simpler if fixed to the floor and butting against the wall when down.
It would raise towards the point of entry, giving circulation all around when raised.
The challenge on a parallel lift is overcoming the initial raise resistance, as all the forces are almost in the same plane when the lift is down.
That is why most commercial ones (like in the picture I modified) use a hydraulic jack lifting at 90 degrees to the resistance.
Commercial ride-over lifts I have seen are pneumatic + hydraulic for ease of installation and operation.
The ride-on-ride-off ones that are used in car workshops are most often screw drive units, but I have seen cable and pulley lifts.
Most elevators (personnel lifts) are multiple cable ones with counterweights.
I will let my mind wander along the concept of a floor mounted timber platform lift with parallel arms,
where lift is provided by an overhead winch and pulley system which can be disconnected when raised for full 360deg access.
(It could even use a hand winch)