Not a double standard. Thi situation was anticipated, that websites hosting user contributed content can not be one or the other, because it would make most websites impossible to operate (like Slashdot for starters, site would cease to exist under the "publisher or carrier" setup you are suggesting). This is why section Section 230 of the CDA was created, they are neither, and fall completely outside the legal structure you are suggesting.
So no, no double standard, they are explicitly given this status. If you want to revoke it, that's fine, but that literally does mean the end of all websites accepting user contributed content in any form (forum, modding sites, comment sections, social media, all are effectively banned or made useless), since it will have to be STRICTLY policed, which means moderations must scale directly with number of users, a near impossible task.
You can either fix immigration or fix the economy. Fixing one makes the other impossible.
If you "fix" immigration, with the correct method of arresting any employer who uses illegal immigrant labor, you will watch the economy crater as all those shit jobs they do disappear, and things start slowing down. You think inflation is bad now? Imagine if most the low level services and food skyrocketed in cost because the actual wage for them jumps 100% or more?
"The four building blocks of the universe are fire, water, gravel and vinyl." -- Dave Barry