I dont think 2012-3 was that bad. Other than re6, another disliked games ı played and enjoyed are batman arkham origins and god of war ascension. Are you a fan of those 2 series? I played greek era fully and even did multiple marathons, for batman arkham, ı didnt play all games but played city after origins. Personally origins is my favourite title and ı dont remember finding city as good as origins.Both RE6 and Absolution come from that dark time when 'widening the net' was all anyone cared about. See also 'DmC' reboot or failed attempts to do Legacy of Kain as a free-to-play online title, Syndicate as an shooter (wtf). How much you think it damaged the end product is personal taste of course and not all games are made equal. Most of these were either restored in newer games or cancelled forever and are now dead IPs.
In terms of Hitman they seemed desperate for that new Gears of War audience (see the IOI fall and rise video) and were not even going have assassinations or use David Bateson as the voice of 47. Weird bad times all around, especially for Stealth and Horror, but RE6 was at least a continuation that a lot of people still play for fun. I get why not all people are into RE7 and VII.
There's also dishonored ı played and quite enjoyed at the time but it seems to be quite liked for what it is.