As far as how important they are to have -- you can absolutely dive tables. People did it for ages, and it still works. The problem with tables is that they are designed for, and work best with square profile dives, like wreck diving. The tables assume you will load nitrogen at the rate you do at the deepest depth of the dive for the entire bottom time, and whether it's boat or shore diving, many dives just aren't like that. When you shore dive, you start shallow and end shallow, and often spend very little time at your maximum depth, but the table doesn't know that. Many boat dives, for example on walls, may start deep and work gradually to the surface -- again, the table doesn't give you any kind of credit for the time you spent shallow. What this means in practice is that table dives will be considerably shorter than computer dives, and some dives won't be possible at all. (One of our most common shore dives here won't fit on any tables at all.)
If you are traveling, and diving in groups, you are going to annoy everyone, including the dive guide, if you are diving tables, because they often want the entire group to surface if any member needs to do so.
Dive computer use has become so ubiquitous that some agencies are dropping the requirement to teach tables AT ALL in OW.
One piece of advice, though -- Buying a dive computer does not absolve you from the obligation to understand what is happening with nitrogen dynamics during your dive.