Yeah, that narrative does not make a lot of sense to me, since both those regions have their own militias which are fighting in the war against Ukraine's capital, Keiv.
Russia has open borders, and is ostensibly, an open society. Folks can come and go as they please, except men that have been called up to active duty in the partial mobilization.
I am not really buying the Ukrainian, and western narrative, that the Ukrainians are, "forced," to go to Russia. . . because, once there, they would seem to be welcome to leave, if they want. It isn't a closed society like North Korea or Cuba. I do not believe that the Russian government would put resources in keeping Ukrainian families prisoner. I have found no evidence of this. It makes not a lick of sense, there isn't any evidence.
That narrative just doesn't make a lot of sense, only to those who aren't informed would it make sense. Russia does not have enough police and military to, "force," foreigners to be where they do not want to be, in the middle of a war. It is economically unsustainable. Illogical.