In my view they are not the same and therefore should act differently. Making them hit the same maybe a compromise for both, neither being at their best. Things can change the result like mentioned (a stiffer arrow) could do it if you want to spend the bucks.

It could be a tuning issue and you could get better flight if it's fixed. I shoot TH's and they fly flatter and farther than my points. The head does do some steering. The weight of the fletching also has an effect. If it's light the head will drop faster. If it's a good balance the arrow should just zip along on a good level path.

They claim those groves in the ferrule have a steering effect. I think they're right.

Could also be something wrong with the bow. I just replaced a cam that was going bad and things have improved. Started noticing a little vibration at the top of the bow like a lose screw. When I couldn't find anything loose I took of the cam and found the sealed ball bearings were starting to fail. It was very hard to tell it was bad while on the bow and only showed up when the TH started telling me something wasn't right.