Just to set the context, we should see the stories Shapps is complaining about, don't you think?
http://www.thefreelibrary.com/CAM'S+BIN+RUMBLED%3B+SUNDAY+Mirror+INVESTIGATES+TORY+DAVE'S+NAPPYGATE...-a0160684637
The Mirror were accusing Cameron of prating about his own Green values, whilst being rather less than green at home - double standards, or hypocrisy. Whilst distasteful, and being honest a relatively trivial manner bin diving has been used many times before, and will, I am sure, be used again in the future.
The story about Camerons father, investigated by The Guardian centres on how Cameron senior amassed the family fortune - through entirely legal and canny investing, I would say. However, Cameron, again through politicking, was banging on at great length about tax loopholes and investment funds that exploited them; so again the charge is one of hypocrisy, something very much in the public interest.
http://www.theguardian.com/politics/2012/apr/20/cameron-family-tax-havens
However, both stories are something of non-stories, to be honest; Which is probably why they never gained the same kind of traction as this story by the Mail regarding Milibands Father.
Now - Miliband has referred to his father, frequently. Has used him as an example - Jewish emigre to the UK made good and all that. It is entirely right and proper that people examine his fathers politics and the extent to which they might influence Ed Milibands policies.
What has so incensed many though is the deliberate smearing of the father. To claim that Miliband senior "hated" Britain- based around diary jottings of a 17 year old jewish emigre newly arrived to these shores, on the run from the expanding Nazi presence and with confusing signals about Nazism emanating from the British establishment is plainly an attempt to smear Miliband senior out of nothing, and to smear Ed Miliband by association.
To then go on and to further explain that Ralph Milibands "disdain" for establishment cornerstones - Clubs, Church, Army, Eton, Oxbridge and all of that - was evidence of a "hatred" of British values is ridiculously stupid. Millions of UK citizens at the time would have shared similar sentiments!
And to then go on and describe Miliband senior as leaving an "evil legacy" is equally offensive and equally stupid too.
The Mails true agenda shines through - they have robustly rejected any notion of greater regulatory powers and scrutiny over the press, and that is what all of this spat is all about.