Careful there, I can easily put down a lot of reasons why NG3 and NG3:RE have issues that aren't related to the series; they were badly received by pretty much the whole world for a reason. NG3 is probably one of the worst games I played the last generation, full stop. God of Four is 10x the better game, and you know how much that means coming from me. It really is abysmal.
From bad enemy ai, a not thought out Steel on Bone mechanic (that was never explained and only one person in the WORLD understood), input delay and input drops, unresponsive controls, one note gameplay (just wave after wave after wave), said one note gameplay gets really boring thanks to there being only one weapon, very annoying enemy types, bad healing system (allowing you to get stuck forever, forcing a campaign restart), bad camera, off screen instantkills, laggy co-op that exists purely out of spamming bosses at you and older enemies that were designed around mechanics that no longer exist, QTE's everywhere, a trial and error final boss riddled with glitches, auto-dodge happy AI, Move Support, no exploration or anything else to do besides fight fight fight, auto dodge happy bosses that force you to spam a cheese tactic for 8+ minutes, eventually released DLC weapons absolutely BREAK the game, bow was way too good once at level 3, bosses in general a let down, most being generic trial and error fights with unmarked QTE finishers (you have not witnessed bad boss design until you've faced the T-rex), pointless shuriken weapon.
All that is just based on it as a stand alone game. If I were to compare it I'd also call out the lack of Scarab collectibles, weapon variation would get more hate, the lack of the G-throw, basically all Ryu's platforming skills missing, lack of interesting enemies would get more hate etc. But hey...we got to see him without his mask and be all 'emotional' and have a daughter and a wife (sort of).
Razor's Edge is a pig with lipstick. It is a lot better, but still horrible in a sense.
About the Witch Time, it is mostly an annoyance for me since it forces a big 'dodge first, kick ass later' methodology on you. Later fights, bosses etc. can only be fought in Witch Time pretty much, which is just sad. Takes a way a lot of the fun.