I hated the limits of ow and already knew I wanted to do technical diving. So I tried to do aow asap, but at club they where too slow. They complaigned about my nightdives and dives to 24m, but did not help me to get my aow/2* cert asap. So I ended up doing my aow with padi and not at the club after 55 dives. Then did my dm/3* combined with rescue (ok, rescue first, but in same month), I had around 130 dives then. Then had in 10 months 200 dives and decided that I was ready for technical diving. In that 200 dives I had done dives up to 50m, solo, wreckdiving, night diving, decompression diving, icediving, etc. So I was ready to move on to technical diving. My first 100m dive was dive 521, my certifying dive for full cave 390.
How fast in time depends on how often you dive. If you really want, dive a lot and practise a lot, you can go faster than only diving once or twice a month. I dive 4-5 times a week. Officially you can do aow directly after ow. But some take some time. But it all depends on you. And some divers are more talented than others. Some will never learn and some are really naturals. But even the naturals need to build up experience.
For technical diving you need really much more experience, but if you want, start directly with practising the frogkick and so on. Try to find an instructor for aow that can help you with these finkicks too. Don't shoot an smb sitting on your knees. That is not a good way for every diver. After your certs try to dive in different areas, current, no current, try to use your compass, do nightdives, maybe learn drysuitdiving, etc.