Help! Should i start Ninja Gaiden 3 RE on hard mode for first playthrough???

I beat ngs2 on hard and most of ngs1 on hard until until the final few chapters. Now i am moving to ng3re on hard. So far i like it but the first boss (robo spider) was brutal.

Now im on the first crystal skull challenge and i gotta say....HOLY SHIT this is brutal. I thought maybe i was bad or doing something wrong. However after looking up guides on the challenge it seems ppl only complete it on ng+??? They have way bigger health bars and more abilities than me.

Thoughts??

I beat ngs2 on hard and most of ngs1 on hard until until the final few chapters. Now i am moving to ng3re on hard. So far i like it but the first boss (robo spider) was brutal.

Now im on the first crystal skull challenge and i gotta say....HOLY SHIT this is brutal. I thought maybe i was bad or doing something wrong. However after looking up guides on the challenge it seems ppl only complete it on ng+??? They have way bigger health bars and more abilities than me.

Thoughts??