Yes you'll always we able to take your public list anywhere you want we have no control or say over it, you fully own thrm... your keys your account. A public list in this case is the badge-000000 account and those you follow which is for a specific reason in most of these cases.

Other interfaces are free to impliment a system for display of those lists like we do with steempeak badges. We cant force them to impliment but fine if they join... we will just try to always have the very best implimentation of it.

As for the bugs and suggestions I'll tag @asgarth so he can take note of them.