i take it this worry about bareback extends to oral as well....might as well be wrapped up in shrinkwrap for fear of coming in to contact with bodily fluids
personally its all about preference of both parties.
how many times when your in a long term realtionship have you done it bareback?
if you have known the persona's for some time and are STD free sometimes it can be fine.
if its a short term thing its all about preference.
Remember bareback does not have to mean that ejaculation needs to be internal. This still may not be safe enough for those worried.
So simply if you want - go ahead
If you don't - say no and move on.
Everyone is entitled to their own preferences and opinions and everyone is entitled to express that how they wish.
enjoy.