To answer your question, I think not very many people dive tables any more. But that doesn't make them invalid. It's just that computers, because they can continuously calculate nitrogen loading based on the real depth where you spend your time during the dive, tend to give you much more no-decompression time.
If you are shore diving with a buddy who is also using tables, there is NOTHING wrong with diving profiles determined by them. But if you are going out on the kind of charter boat where the group goes with a guide, the other divers will be very unhappy with you for using tables . . . because you will have to surface long before anyone else, and on some boats, that means the whole group goes up.
You see, the issue, as already stated, is that tables assume you spend the entire dive at your maximum depth. Many sites aren't like that; you can multi-level the dive, moving upwards as you go, and not incurring nearly the nitrogen loading that the tables assume you have. There ARE multi-level table tools, but even they can't account for a dive where you descend to maximum depth, and spend the whole dive working your way up a wall. In such a case, the tables are extremely conservative and undoubtedly very safe, but really curtail your dive.
To give you a real example from our local diving: A very typical dive for us is to do a shore entry at the site, and swim down a rope line. It will take us about 15 minutes to reach 70 feet, and at that point, we work our way across the site, coming up to 60 at about 25 or 30 minutes. We then work our way up the pilings that form that part of the site, taking another 15 minutes or so to get to 30 feet. After we've checked out that portion of the site, we swim across to our original line, taking 15 to 20 minutes to return to the vicinity of our entry. So, we have a 60 minute dive to 70 feet, according to the tables . . . and the PADI RDP has you well into deco -- even on 32%, you're in deco by tables. But really, you aren't -- because you spent half of the dive shallower than 30 feet.
When I first started diving, I had a computer, but I tried to log my dives using the PADI sheets, which assume you are using tables. I was profoundly confused by the fact that every single dive I did put me horrendously into deco by tables, but was fine according to my computer. I eventually learned why, and realized why almost no one dives tables any more. They are a good tool to stay safe, when you have nothing else. But they are punishingly conservative for many very acceptable terrain-based dives.