FHR nights count for elite stay and night credit and benefits. At the Waldorf Astoria Las Vegas last year the FHR rate was the same as the Hilton.com rate and the FHR and Diamond credits stacked - I got $60 a day in breakfast credit through FHR and $50 from Diamond.
If AmEx had also taken $200 off the top, I wouldn't be complaining about it on here.
Given that the fee increase is $145 and the hotel credit is $200, I'm surprised to see so much complaining. Yeah I get Clear for free too (though I will use the credit for family members who don't), I'm not going to switch to Equinox, and the entertainment credit is only going to be worth a few dollars a month for me, but the hotel credit more than makes up for the fee increase and is easy to use organically for those who travel regularly.