man idk, I don't think I've ever run d&d where there were "evil" races, like I find the idea in of itself kinda dumb. my current dm is also the same way. orcs in his world are largely warriors who rule the deserty part of the world. we also had an entire adventure where we kicked out an orc tribe that took over an entire small kingdom. doesn't mean orcs are inherently evil, we even had a half-orc paladin join our party halfway through that adventure. prior to that we befriended an orc cheesemonger who wrote to us from time to time.
I get that maybe certain things are always gonna be evil, e.g. demons and devils, but even with things like tieflings if it's within the purview of a playable race I don't see why they should be inherently evil or good. even WotC had addressing this issue, and you can tell 'cause in 5e we're told that orcs and goblins and the like are still influenced by the gods who created them which felt like a better explanation than before but still fairly contrived.
but to answer your question (lol) I dunno, I feel like maybe goblins might not be as accepted if say a town has had a bad history with goblins, or are currently embroiled in a war with them, but if a town hasn't had any bad goblin experiences as of late idk how they should be treated differently from other adventurers (who should face similar prejudices depending on where they are imo).