I have also experienced a similar situation. Single AC remaining caused other load sheds - incl equip cooling on my type - and getting back to the nearest suitable was certainly desirable. As things heated up, other failures started to creep in - including signs of CRTs failing. PAN declared. Normal landing in my case, but had we taken any longer, we would have been onto SBY instruments. Doable, yes, desirable, no.
On the face of it, these things look like they might not be worth declaring an urgency/emergency for, but there certainly isn't any harm in declaring and finding things did work out OK after all, rather than truck around at no.10 and find things deteriorating further while you wait you're turn.