A majority of my interactions with Bandits on the roads throughout the years has just been a bunch of people running up with weapons already drawn in their first emote and they stop 1 block away from you and, if there are multiple, they surround you. When I see something like this start, it does instantly put a bad taste in my mouth because it feels like they aren't actually there to rp. This bad taste does usually make me want to just want to get out of the situation, making my rp usually worse as a result as I don't wish to entertain it.
This is a problem. It's an issue when people are just wanting to kill people for their loot and not generate a fun story for all parties involved, like what Hairy_Sonic mentioned. The moment a bad taste is put into a party's mouth, the rp will become worse and Bad Faith RP is likely to be more prevalent.
In my opinion, two main things are true. For one, the Bandits are almost always the ones initiating the RP, so it is up to them to make a good first impression to not set that initial "bad taste". Secondly, it is then up to the ones being bandited to play into it once that good faith rp has been initiated. This can be done in multiple ways, like trying to talk to the bandits, or maybe even trying to "play the hero" in some way. No matter what, there should be an understanding that the good faith rp is meant to be, well, good faith and generate a story for all the involved characters. This should not stop after the first round of emotes, of course, and the bandits should play into the ones they're banditing as well, such as verbally responding to them. There have been a few instances where the bandits never even speak to the people they're banditing.
Personally, I do think it's difficult for banditing rp to get a good leg up because so many people have given it a bad name by being extremely bad faith, using it just to get items and murder hobo. Another issue I see is that pixel gooning. While it is the point of banditing to grab people's items or mina, it should still be a fun story with it. For example, steal someone's wedding ring or their heirloom sword! Maybe give them a hint where to find you so they can try and steal it back. Wanting to PVP and then pop someone will almost always leave a negative impact on people, so try to avoid killing and if you do have to kill someone, let them SS, but maybe take an item or two. If you do end up killing someone, at least make the RP fun for them as well, this goes for both sides. Give and take is extremely important and losing can still be fun if you get a good OOC story out of it that you can tell your friends. For example, "Oh yeah, I got killed by some bandits, but I managed to chop one of their hands off in the process."
Overall what I'd like to see is people rping for the story aspect and for the fun of it, on the sides of both parties. Start your banditing with respect and you'll receive respect back. One decent encounter comes to mind where my character was stopped in the forest, searched, and then let go because nothing interested the bandit. This wasn't a bad interaction, and if this was more common, then banditing wouldn't be hated as much. We're all on lotc for the story, so make it a good story. Sorry not sorry for the rambling