There is NO comparison between hospital detox and rehab detox in a treatment center. The treatment in the hospital is only to make sure you don't die in DT's, traditional hospitals are not equipped for recovery. Once the danger of the withdrawal is over (based mainly on your level of consciousness, your vitals and your lab work), you're discharged and well, on your own. They really don't give a sh!t about your "recovery, or therapy" (that's not what they do).
Rehab detox is ALL about rehab. It's the sole purpose of the place. Hopefully you will have admitted yourself for several weeks of treatment following your detox.
All I can say is that rehab was one of the best things that ever happened to me in my life next to the birth of my 3 kids!
Good for you!
All the best.....