What kind of permissions are we talking about? Can a window-moving app actually do much harm?
Not too familiar with Mac permissions to be honest but the apps I looked into so far were very quick to ask for permission to "control this computer" so I don't know, if it's not necessary I'd love to avoid it.
I think the apps mainly mimic keyboard inputs, often using the disability functionality provided by MacOS. Tbh I trust apple enough to not allow 3rd party apps cause too much harm
Not too familiar with Mac permissions to be honest but the apps I looked into so far were very quick to ask for permission to "control this computer" so I don't know, if it's not necessary I'd love to avoid it.