Most well-known/large agentic web tools I've seen are actually super honest about who they are -- even when they write out scripts they're very keen to identify themselves using user-agents. Most of the time those tools are fine - it's the ones that happen to have a random choice of the 5 most common Chrome/Firefox user-agents making sequential scrapes but cycling through IPs on African and South American residential IPs that are the problem!
Yes I've seen it. ClaudeBot will gleefully announce itself when it hammers my niche website a million times a day.