I tend to agree. You give up a draft pick for Fowler, but you'd get one back from letting EE go. He's a top of the order switch hitter with some pop, good base runner, good approach at the plate. He won't repeat the BsR value he posted last year - and it will drop over the next 4/5 years, but he's been a 120 wRC+ hitter for awhile now and his versatile game means his floor should be pretty high.
There's a chance that if you put Fowler in RF, his defensive value spikes like it did went the White Sox put Eaton in RF. Fowler + Pillar + LF is going to be a really good defensive outfield.
He's basically exactly the type of player the FO said they wanted to add when this offseason started. I call comes down to price. I'm don't love giving Fowler a 5th year or more than $20M AAV.