WI Somerset hadn't charged at Tewkesbury?

[Silent Cal]

So I was browsing the wiki-which-shall-not-be-named, when this particular passage caught my eye:

Fleeing west to seek help from Jasper Tudor towards Wales, but halted by the Yorkist army at the Battle of Tewkesbury (4 May 1471),[citation needed] he commanded the van of the Lancastrian army at the battle of Tewkesbury, His position was almost unassailable, but, for some unknown reason, after the battle began he moved down from the heights and attacked Edward IV's right flank. He was assailed by both the king and Richard, Duke of Gloucester, and was soon put to flight, his conduct having practically decided the battle in favour of the Yorkists.

So, I was wondering, how would the outcome of the battle have changed, or the war itself, had Edmund Beaufort not gone full Leeroy-Jenkins-mode and assaulted Edward IV's right flank?