The thing is, no matter how much we love Reagan, his record can be severely scrutinized as well. That's before the internet. Can one imagine if 250 Marines were killed in a Beirut barracks bombing attack as in Beirut under Trump? That is but one example.
Yes, Trump seems to error in things he says sometimes. I don't place that much importance on it. It seems more like embellishment, a misstatement of facts and things like that.
It's easy to google "Obama lies" and find a whole lot of stuff on that.