Typically we have a few different kinds of standard errors.
For a regression we have a standard error for the actual estimated parameter, but we can also have conditional standard errors for some particular set of values and this is a bit different. These are calculated in different ways.
You can also have standard errors that are from the sample data.
Together, all of these different standard errors can refer to different things and the one you look at is the one that is most suited for the problem you are working on.