. . .
The charter I went on, they told us the first dive depth literally 20 minutes before we anchored and then the second depth on the way to the second stop. So it's impossible to plan your 2 or 3 tank dive ahead of time. I did calculate everything on my computer, but I guess I'm curious if my computer is right.
I'm impressed they even were able to tell you a depth with much clarity. Except on wreck trips, square profiles are rare. Often, it's more like "The bottom slopes down to X feet in the beginning, but we will try to stay around Y feet, and then after we make our way to the ________ we will be around Z feet .... You can either follow me or do your own thing, but everyone has to be back on the boat no later than M minutes after entry."
As I think others have said, your computer is "right" in the sense that people who have dived within the limits dictated by that computer haven't gotten bent any more than people who have dived within the limits dictated by any other computer or tables. It's been validated by enough actual diving to give people confidence in its safety.