Sure, 250 per year might support the statement "Almost every day in the US you see someone who decides to go out with guns blazing rather than go back", but that doesn't mean it's common.
Put another way, 250 people doing this per year could be considered "almost every day", but I'm not sure 250 people in a country of more than 350M doing something exceedingly, dangerously irrational is cause for concern, or even more than a shrug.
Also: your search result page doesn't say what you think it does. I clicked through a few of them, and many of them just talk about warrants in general (even search warrants, not arrest warrants) where no shooting occurred at all. On one of them I noticed that the word "shot" appeared in the "related stories" links at the bottom, in a case that had nothing to do with an arrest warrant or police.
This returns a decent number of relevant and recent results:
https://duckduckgo.com/?q=+shot+serving+warrant&iar=news&ia=...