I've seen two .22RF doubles built by local gunsmith Bob deVries... one on an old Liege hammer action .410, the other on a more modern hammerless .410. They were built using old Lithgow M12 rimfire barrels (which were made out from the same SMLE SAF 7 centrefire steel blanks at Lithgow Small Arms Factory)

I'd say the biggest problem when building a .22RF DR is lack of tuning during regulation... .22RF ammo is of course unable to be reloaded and tuned to the harmonics of the barrel and action during regulation. A different brand of rimfire ammo often behaves markedly different in a rimfire, so I'd say it could only be regulated for one brand and one weight of .22RF ammo.

If you want a small calibre DR, I'd go for a .22 Hornet... centrefire so no problems with original striker orientation, reloadable for tuning loads during regulation and low pressure enough to fire safely in the .410 shotgun action.

Would make a nice usable light game combo with the .410 shot barrel... not just a curiousity.

And of course solid 50gr bullets are available to have in reserve for the LH barrel just in case you are ever faced with a charging rabbit