The fact of the matter is that because leafs are stiffer, and only flex front to back they provide more stability. It shouldn't take an engineer to figure that one out. Just because you haven't experienced it doesn't make it any less true. Just as you've provided your opinion, I've provided mine (which also happen to be backed up with fact behind it). Both trucks may do the job just fine, but in terms of overall towing capability, 3500 SRWs always win over 2500s, and in comparing 3500 SRWs to DRWs, the dually always wins. Always.
3500 SRWs on leafs will always be more stable than 2500s on coils. 3500 duallies will always be more stable than a 3500 SRW because the wheelbase is 17" wider with another set of tires to help carry the load and the contact patch has doubled. This negates most sway and wag. People try to patch that by stiffening up their suspension with airbags. But if you get the right truck, none of that is necessary.
Yes, a 3500 SRW may pull this specific load just fine and if the OP wants to run it, by all means I'd say go for it. Let's just make sure to put the facts on the table so the OP can decide for themselves. The most important thing is getting the right truck for the job and being realistic with expectations.