As someone working in the analytical industrie, I can tell you that these techniques are far from outdate. This has several reasons:
If you're working in the pharmaceutical analysis, and therefor working with the so called Pharmacopoeias (USP, JP, BP, PhEur) many methods are still based on the classical working techniques. Heavy metals are still often tested as Sulfites, a lot of titration methods are used (Karl-Fischer for water, hydroxyl value...), dry matter, ash testing...
This is also due to the limitations of pharmacies, who have to test themselfes and don't own the big and expensive instruments. On another side, this is due to the enormous efforts that neds to be done to update this compendias.
This leads to the next points: costs.
A lot of these modern and trustworthy machines are expensive and require a lot of know-how. Not every company can or wants to invest this much money in the analytical equipment, if a technician can do a lot of this cheeper by himself.
Please don't think that you can buy a GC/HPLC/NMR..., just put it in place and it works reliable the next 20 years. You have to maintain it, qualify and calibrate it quite often... This also costs a lot of money and time and if you don`t use it 24/7, this will raise the costs per analysis quite a lot.
I will update this further, after work.