issue with plot (type="h")

Hello everyone.

For reasons too long to explain I wanted to do plots similar to histograms with plot(type="h"). 
I ran into a problem - if I set line width too high, histogram isn't accurate anymore.

For example:

par(lend=2)
plot(c(2,4,3,2),ylim=c(0,5), type="h")
abline(h=3)

Column 3 appears just as high as it should. But if I do

par(lend=2)
plot(c(2,4,3,2),ylim=c(0,5), type="h",lwd=100)
abline(h=3)

then columns become too high. Can I correct the problem or is there another way to display my data correctly?

Thanks for help,