You need to be "present" when using the tool, respect it, and maintain very healthy safety margins. Before I flip the bandsaw switch on I think about what I'm doing. I don't get close to the blade. For me this is what makes this safe.
The router, even when you do all the above, it can jump, it can throw material off, it keeps spinning for a surprisingly long time after you power it off. All these characteristics make it less predictable. You need to understand it at a somewhat deeper level, how much can you cut, what direction to go, what direction is the grain going. You need to hold/brace it understanding that it can be unexpected and has a lot more power than you think. That's what makes it a more dangerous tool. Ofcourse properly used - it's fine.
The router, even when you do all the above, it can jump, it can throw material off, it keeps spinning for a surprisingly long time after you power it off. All these characteristics make it less predictable. You need to understand it at a somewhat deeper level, how much can you cut, what direction to go, what direction is the grain going. You need to hold/brace it understanding that it can be unexpected and has a lot more power than you think. That's what makes it a more dangerous tool. Ofcourse properly used - it's fine.