How is the different from 3.7 sonnet connected to the web search? Or Gemini 2.5 with search capabilities? Am I to rely on Kagi being better and capable of continuing to be better than frontier models at search?

It's a front end for all of those models. I haven't signed up for it but I'm considering it as I pay for both Kagi and Claude for a total of $35/month, whereas this would be $25 if I understand correctly.

https://raw.githubusercontent.com/aboxwithrocksinit/test-buc...

Difference #1 - Flexibility - in Kagi you choose any model you want to work with, not just models from one company

Difference #2 - Quality - Kagi Assistant uses Kagi Search. Ultimately, model quality will converge to the same place, quality of search results will remain a major difference.

Difference #3 - Privacy - Using models through Kagi is more privacy respecting due to non-training for API calls.