Have a friend who bought an MGB a couple years ago. He has owned full sized trucks for many years, but owned a TR6 briefly when he was young. His wife has a full sized SUV. They are both scared to drive the MG and hardly take it out at all, in fact they are trying to sell it.
Over on the website Jalopnik they have a daily feature, Nice Price or No Dice, where you look at a car ad and vote and comment on whether it is a good deal. The guy that writes it is "one of us", has had Sprites and many old unusual european cars. But I digress, anyway whenever there is a car older than about twenty years featured there Is a small but vocal minority that will call it a deathtrap and unsafe at any speed. I imagine most everyone of those people are under 40 or so.
The perception of safety is a very relative thing. I remember when I got an RX7 after years of driving 60s British roadsters. I felt like I was driving in a little fortress, with it's closed cabin and three point seatbelt. I am sure many would have thought the RX unsafe then, and even more now. I bought a Sprite about 15 years ago. Cars had gotten taller and trucks and SUVs more prevalent. Have to admit I felt a little exposed in it, but I feel fine in my "big and tall" TR250. Everybody has very different feelings about car size and safety.