There are two things that are "show stoppers" with any antenna -
1) Is it a hazard to people or property?
2) Does it not work at all (i.e. no RF in / out)?
If either of the above is true then the antenna cannot / should not be used. But those are the extremes, and somewhere in a very wide "middle ground", all antennas are a compromise. The Eagle One is no exception. Will it work at all on many HF bands without modification? YES. Can it be made to work much better by adding a $300 - $600 tuner at the base? YES ABSOLUTELY... no argument there. Without additional matching components the Eagle One does very well on 40M, 15M, and 6M. Will it work on other bands? Yes BUT very inefficiently (high SWR, power limiting, poor RF output)... and likely not at all for transmitting on 80M. It may behave as a "dummy load" with a very poor RF pattern (if any at all) on bands other than 40, 15, or 6M. (And someone will chime in here explaining they did WAS with a dummy load, I know.)
Does that mean you shouldn't put one up? No, unless your goal is to have it work unmodified on 80M, or as a super-efficient, perfectly matched antenna on bands OTHER THAN 40, 15, or 6M. Put it up, enjoy working HF, and improve it if you feel the need and have the $$ and time to do so.