The side stands on the Breva & earlier V7s have this piece of bent wire that curls around the muffler. It was always difficult to get a good foot on it. I used a bolt, nut & washers on the tip, so the boot could catch it easily - see photo.
When my cousin, a UJM rider, borrowed the Special, his heavy foot ended up breaking the wire off at its base. It help to keep the pivot lubed - the Breva manual specifies the grease to be used - I refresh the lube whenever the sidestand starts to get harder to get down - I found chain wax works well enough to avoid taking off the muffler to get to the pivot bolt.
Popping on over run on the Mistrals? I'd try Beetle's map for the 15RC ECU (V7 Classic, Cafe Classic & Breva 750) -it's a free download on GRiSO.org. Be sure to read & follow the instructions, too. It works really well on the Agostinis (with the bigger Agostini headers) - almost no popping, only the occasional muted phhhff, a little less well on the Staintunes, but still good (& even better if you haven't lost a hidden exhaust stud). If still not satisfactory, Beetle could possibly refine it further - I don't think the 15RC is as messy as the MUIG3 on the 1TB versions. Usually, it just requires a hard reset & a few hundred kms to adjust to a new pipe.