Breaking the cycle of regencies and underage monarchs will be good for Scottish royal authority (though James IV was 39 when James V was born, so he could die whilst his son is still underage). He probably gets another kid or two with Margaret- they'd had terrible luck IOTL (1 surviving kid from six pregnancies), but she is only 24 there's plenty of time- this obviously beefs up the mainline Stuart dynasty (which was very thin on the ground in the 16th century IOTL) and shunts Albany, Hamilton et. al. further down the line of succession.
Though the Scottish nobility was also gutted at Flodden, so if there are fewer casualties there ITTL that could radically change the character of the highest level of Scottish society.
The Howards probably earn Henry's disfavour and don't regain the Dukedom of Norfolk- Thomas Earl of Surrey (IOTL 2nd Duke of Norfolk) was in command at Flodden, and his son Thomas (IOTL 3rd Duke of Norfolk) was also present. Though if both Thomases die Henry might soften towards the family in general. In any case, the Thomases being dead or discredited effects the domestic character of Henry's later reign.
If he still wants to divorce Catherine ITTL (she had several pregnancies after 1513 IOTL, including Mary, so a healthy son isn't impossible), Henry likely brings this up- "she failed to defend our realm from the barbarian Scots"- it won't count for much, but it will lessen his opinion of his wife.