Amesbury was sentenced to 10 weeks, which was suspended for two years on appeal.
No doubt someone will argue there are legal differences and nuances between the two cases
The nuances being that Amesbury was convicted of Common Assault which carries a maximum penalty of 6 months imprisonment, didn’t use a weapon and as far as I know didn’t lie about how the victim sustained his injuries.
However, Williams was convicted of Grievous Bodily Harm with Intent which carries a maximum term of 7 years, used a weapon, and lied about how the injuries were inflicted. Furthermore, according to the BBC report, the injured party has not fully recovered.
So, if Amesbury got off lightly it could be argued that Williams did too.
Presumably Williams can lodge an appeal if he and his legal team believe he’s been harshly treated.