In my opinion, I don't think it's a net win. Those restrictions always frustrate me.
(I'm hoping someone here will post details about how to defuse or work around them. Maybe a tweak to Firefox's user_prefs.js? An extension?)
Presumably the reason why sites disable the password manager is because they're worried that Alice might sit down in front of Bob's browser and log into the web site as Bob, maybe purchasing something on Bob's tab. This is particularly an issue for roommates, family members, etc. who live together with each other. (See also "friendly fraud".) A related risk is that Bob might actually purchase something, but then claim that Alice did it to get out of paying for it. Presumably, the sites hope that by disabling the password manager, Bob will be forced to type in his password anew every time; Alice won't know the password and won't be able to type it in.
However, these restrictions come at a significant cost. They make the website less usable and more annoying for users. They also drive users to either select poor passwords (which may be more susceptible to password-guessing attacks) or to write down their passwords (potentially enabling roommates and family members to learn the password, leaving everyone back where we started). For users who do trust everyone else who has physical access to their computer, these restrictions strictly decrease security.
Personally, I suspect most sites should be reluctant to employ such measures. Odds are that you will annoy your users more than you will help them. But you will be in a better position to make an informed decision.
If you do decide to employ such restrictions, you might consider providing users a way to opt out if they do not share their computer with others. Perhaps this may only be of interest to power users, so I don't know if it's worth your time, but you could consider it.