The cymbal marks look normal to me. I get cymbal marks and also chewed up sticks. I admit the stick chew is usually from the hi-hat edge.
Edge hi-hat playing and edge cymbal crashing is a different sound to tip or top playing. Both are valid, neither is wrong.
I play hi-hats and crash cymbals with the top third of my stick. I play my rides with the tip usually, and also hi-hat with the tip quite often.
Chewing through sticks is just a cost of the job or hobby. It all depends on the sound that is required for the music. Light playing using the tip of the sticks is great for some genres and obviously results in much less stick wear.
In the end, sticks are what is know as consumables (like drum heads).