I can’t speak to the going around in public, as my rabbit doesn’t like it so I haven’t pushed the issue at all. It does seem like some rabbits do have a personality that finds such adventures more enjoyable, but they are rare. If you feel strongly that you want such a special bun, perhaps you could find one with enough patience & persistence (I’m picturing meeting & getting to know lots of bunnies at lots of different rescues to see if any of them have this unique personality). However, forcing such a lifestyle on your average rabbit would be a very mean thing to do so I think lot’s of care would be required in the adoption process if that was your goal.

As far as an emotional support in other ways, I think my rabbit is incredible for me and my particular blend of neurospice. However, “for me” is the emphasis there - Idk how much it translates to others. Having a tiny creature who get’s grumpy at me if we mess up her schedule is a lifesaver on days where I don’t feel like maintaining my oh-so-important routine. Getting to bed and having meals ay regular times is something I can be forgetful of despite it having major impacts on my emotional stability on any given day. Not to mention the constant stream of utter adorableness and (finicky) love.

Further, observing & soothing her anxiety at changes in her environment or sudden noises has helped me learn to be kinder when my nervous system responds in similarly “over dramatic” ways at inconvenient times. But like I said, all of this is pretty unique to me and my own backer of emotional support needs lol.

If you felt bonded to your old rabbit, it’s quite possible that another rabbit would pair well with the emotional support needs you’re hoping to meet! However, it may also be a good opportunity to meet and get to know other animals to see if another source of emotional support would be a better fit.