I have no experience with Dr Ben Choey, but many doctors do travel to hospitals for deliveries and they get sufficient notice from the labour ward to make it on time.
For Dr Paul Tseng, he is a pro-natural gynae in a very extensive way i.e. not just supporting vaginal delivery, but doesn't routinely advise interventions like scanning, testing etc except when medically indicated. For example, he only uses his hand measurements and Doppler for heartbeat during most visits (you have separate detailed scans every trimester) unless you want an ultrasound scan every time. He is also one of the few gynaes who doesn't have a long list of exceptions to supporting vaginal delivery (e.g. some gynaes have issues with due date, baby weight, breech presentation, long labour etc.; Dr Paul is one of the very few gynaes who is open to even vaginal breech delivery). Dr Paul has no package, which I like because you don't feel pressurised to stick to someone just because you paid upfront. This also means you can always consult someone else and still look for him in the later stages if you need a second opinion.
There is no right or wrong, you just have to find the right fit for what you envision for the birth. You can also visit both and ask questions to give them a chance to advise you then see whose style you like.
