I do not know the characteristic of the W112 with the airsuspention, but I think I can tell you the difference between the W111 and W113. I have both mentioned by you cars a 250 SL and 250 SE Coupe Automatic. Both cars are from March 1967.
The Coupe has the Big Chrome package, so it looks like the W112. I was thinking that due to the fact, that both cars have similar technique also the driving characteristic should be similar. But it's not like that.
When you drive the W111 with automatic, you get the impression, that you are cruising. You have the big grill with the Mercedes star, the car is quieter more comfortable. And you have a lot of space inside, so also other feeling, than in the Pagoda
The Pagoda is more sportive, louder, smaller. The opposite of the W111. You feel the direct contact with the road.
Even the best epic description will not convey these impressions. So you have to try.