Correct me if I’m wrong, but I thought the 888 takes somewhere on the order of 40 seconds to heat up.
You're correct, it takes a minute. But a lot of people don't find that bothersome. The advantage of the FX888 series is the availability of a wide variety of very-low-cost high-quality tips. So you can have the unit plus 8-10 useful tips for under $200. ...
I do not know why people care about the warm up time unless they are relying on the iron sleeping between jobs. When I did production work long ago with a Weller Magnastat, the iron was on 8 hours a day and it still took years to wear out a tip. I have changed more Magnastat thermostats than tips.
10 tips for less than $200 does not seem cheap. I checked the price, but I guess that is Hakko. Weller tips, at least for Magnastat and ET irons, are about 1/4 that. The price of tips is probably irrelevant though considering how long tips last.
I like the idea of the Hakko 95 watt FX-8806 iron, although it costs almost as much as the station.
I see Chinese higher power soldering stations on Amazon, but I would not trust them.
AI recommended the 120 watt Pace ADS200 for about $300, plus one of the thick tips for $30, but a directly heated Metcal can be had at that price. I assume the directly heated tip on a Metcal makes up for lower power compared to a higher power indirectly heated tip, but someone else can comment on this.