Error bars make sense on values that go into a bar chart, but despite how common they are, there’s a fair literature on why they should not be there. In essence, people make visual judgements based on the highest point (the top of the upper error bar) instead of the bar itself. If error bars are large and different, that leads to a very confusing plot. Conversely, if the error bars are small and similar, you probably don’t need them at all.
To complicate matters, different charts will use error bars for different things (+- 1 standard error; +-2; 90% conidence; 95% confidence)so there is no safe intuition about their meaning. And there is no simple interpretation of error bar overlap; overlap does not mean lack of difference (although lack of overlap of 95% intervals does).
Further, in a barplot with error information, readers show ‘containment bias’; they tend to respond as if values inside the bar are more likely than values outside (above) it.
So yes; error bars ‘make sense’ in a bar plot in the sense that they encode meaningful information. But in a big-picture sense, a barplot with error bars is not the ideal way of displaying information combined with confidence limits.