Yes, DSG, it is really correct. That is what happened. Yes, Chabad loves all Jews, including the worst resha’im, and definitely including misnagdim. But misnagdim hated chassidim, and the fact is that the Alter Rebbe’s suffering during the few hours he was stuck in the misnaged’s home was worse than he had suffered the whole 53 days he was in prison.
The source is Beis Rebbi. p 66. If the moderators will allow a link, you can find it at https://hebrewbooks.org/pdfpager.aspx?req=3751&pgnum=83