I'm not sure placing first in Chatbot Arena is proof of anything except being the best at Chatbot Arena, it's been shown that models that format things in a visually more pleasant way tend to win side by side comparisons.

In my experience doing actual work, not side by side comparisons, Claude wins outright as a daily work horse for any and all technical tasks. Chatbot Arena may say Gemini is "better", but my reality of solving actual coding problems says Claude is miles ahead.