I have no issue using the chain/leather strap that came with my Dinky 24. I find it quite comfortable.
I carried a Dinky 24 for a week when we were in Paris and the chain did start to bother me after a few days. I rested my hand on the bag a lot when we were in crowds for security reasons, and that probably added weight to the bag.
The chain straps have never bothered me other than that.
Thank you both! I may try and get a Dinky 24... I love my tea rose Dinky but sometimes find it a little small...