The extent of noble opposition to Wolsey should not be exaggerated.
Nobility did play an important part in foreign affairs and war.
All nobility went to celebrate peace with France at Field of the Cloth of Gold in 1520.
Henry VIII invaded France in 1513 (captured Tournai and Therouanne), 1523 and 1544 (captured Boulogne) with large expeditions.
Nobility did not want to do Wolsey's job. They realised how important he was to Henry VIII and could not afford to upset the king by informing against Wolsey.
Norfolk and Suffolk did not like Wolsey but are not constantly plotting against him. Enjoyed his discomfiture over Amicable Grant but realised they could not overthrow him.
Overthrow of Wolsey over divorce issue was caused by the king not the nobility.
Even after his dismissal, Wolsey hoped to be re-instated because nobility have even fewer ideas about how to get divorce.
Wolsey was a great politician and was better than nobility at flattering Henry.
Henry retained a residual fear of the nobility inherited from his father and nurtured by his lack of son to succeed him.
Apart from Buckingham, Henry VIII's nobility was a 'court' nobility - did not have the great landed estates and armed men of the nobility during the Wars of the Roses.
Wolsey had enormous patronage at his disposal and the ear of the king. It would be foolish to oppose him openly.
Execution of Buckingham in 1521 was at command of king and was NOT part of Wolsey's 'class conflict' with the nobility as a whole.
Buckingham was proud and arrogant and probably thought that he was heir to Henry's throne.
Wolsey was good at countering threat of noble influence at Court.
Twice he acted to disperse Henry's 'mignons' at Court, when it seemed as though they were advising against Wolsey.