it's not quite like that. henry the 7th became rich after years of counting the pennies. at first, he was poor. henry 8th blew all that away in very few years and yes, the expropriation of the monasteries was profitable but still it wasn't that good for edward not to have any material problems. the country was in ruin by the time elizabeth came to the throne and i sincerely doubt elizabeth was much richer than the rest.
however, the money thing was a tudor advantage. because (and here i'm talking mainly about henry 7th and elizabeth) they knew how to be economical. while henry is more famous for being cheap than elizabeth, they both actually were. they were cautious with money and only used it when necessairilly (although that didn't prevent any of them from throwing lavish balls - but that was a question of image). so, yes, they were much more careful with money than james, for example. elizabeth would have never spent as much as james did.
another thing we must remember is how the tudors happened: henry 7th calmed down the spirits after decades of civil war. of course people supported him, people wanted peace, and as long as he didn't abuse his powers and kept the peace thing going, they let him be. towards the end of the reign he was pretty unpopular because he was very cautious and because he did indeed set a priority on the finances of the king which gave him a pretty bad image. henry 8th came as a uoung and handsome contrast to his father so he was popular too. i tend to think his break with the pope was also popular because (as i mentioned in another thread) the pope was seen as a stranger interfearing with the english business.
edward and mary lost it because none of them was politically shrewd enough. edward didn't have much chance to prove himself, but mary showed enough. by the time elizabeth came to the throne she was considered the hope of the nation: mary's policy had been disastruous. not only the whole 'bloody mary' thing, but also the foreign policy. the country was again in ruin and elizabeth pretty much saved it. so, just like her grandfather she was popular for bringing the peace. she was popular for maintaining the peace. she also had (better than her grandfather) the good sense to entertain her good image. so people went with 'good queen bess'. towards the end of her reign, the whole essex story, her getting old and stubborn and less able to actually rule diminished her popularity.
i still thing the key to the tudors was the fact that they were popular and (most of them) knew how to take advantage of that