My wife grew up in Malaysia, eating mostly with her hands. Hand, rather, normally the right, but the practicality of this is not (no longer?) related to toilet hygiene -- more just that it's really useful to keep one hand clean to pick up your glass, hold serving dishes and implements, etc.. She was raised to be rather more hygienic than I was, interestingly, and has rules that I still forget and break occasionally.
Nowadays many people are westernized enough that they have switched to eating w/ utensils (either chopsticks or fork/spoon, depending on type of cuisine, and the Chinese segment of the population have been using chopsticks all along), but eating with the hands is still quite common.
The houses where I've spent time in Malaysia had western toilets but often with a bucket & cup or sprayer for cleaning; toilet paper sometimes also present, but not always.