I research as little as I can get away with and I'm not ashamed to admit it. =/ I have more important things to focus on...and unlike this Seattle guy, I purposely write in a way that makes most research unnecessary (focusing on characters & themes rather than on settings; or creating my own fantasy setting from the ground up).
But in general: There's a difference between promoting the idea of doing careful work/knowing your subject matter, and promoting the idea that if you don't research EVERYTHING you are a worthless writer, and I gotta say that it seems like you're kind of on the side of the latter.
We're all only human...things that stick out to you may not stick out to other people. As someone with at least a beginner's level of knowledge of 4 different languages now, I've learned to be more lenient with cultural knowledge in general...there are some things you just don't pick up on or aren't even aware you SHOULD pick up on if you don't have the right background.
Like, yeah, it's fun to nitpick and feel superior...until you remember those times when you were floored by some new bit of knowledge that you didn't even know was a thing...like the instinctive adjective order in English (I don't remember the actual term for it). English is my native language and I had no idea about that; it's just something you 'instinctively' learn to do if you grow up with the language...and now if a foreigner says something in English that sounds a bit off, I have one more reason to be a lot more forgiving. Conversely, I now know that there could be similar phenomena in the other languages I'm familiar with that I could easily never find out about. ^^;
It's like that with everything...to give another example, as someone who watches a lot of content from the 50's, 60's and 70's, I'm familiar with a lot of slang and product names and phrases that other people (professionals included) get wrong a lot of the time...but rather than "slamming" them, I really just wish I could help, even if it's something as simple as correcting a caption so that it actually makes sense in context.
Most mature audience members (the only ones that truly count in these instances) would do the same. It's fair that they don't know; if my adolescence had gone just a little bit differently, I wouldn't know either. Rather than going around expecting people to RESEARCH so that I won't have to feel uncomfortable and/or wait to catch their mistakes, I prefer to just tell people things.
Be helpful instead of critical; if you have time to rant about how people's ignorance offends your infinite knowledge, you probably have time to make spaces where this knowledge is readily available. Write up crash courses on life in different eras, make tutorials for rare/outdated skills that most people don't have anymore.
It's funny that you claim that research is "easy" nowadays without thinking of the people who MAKE it easy. They're people like you, who know things that other people don't, and instead choose to share their knowledge instead of using it as justification for looking down on others. CONTRIBUTION is what made the Internet the miraculous wealth of information it is today; it didn't just become that by itself.
TL;DR Writers can't know everything in the world. They can't get EVERYTHING right, no matter how hard they try or how loudly you yell at them to "research". The sum total of knowledge of the entire human race will always be greater than that which one person can acquire alone (and now that I've recently learned about the Bekenstein bound, I know that this fact has quantifiable proof~).
No matter what you do, there will probably be something inaccurate or just plain wrong in it that someone could potentially point out...rather than living in fear of this natural occurrence and shaming those who don't, I think it's better to focus on sharing knowledge/trivia to make the act of research that much easier for the next writer who comes along.