Found a well-used, cheap Hakko 850 that appears to be the same version as the one in this thread:
https://www.eevblog.com/forum/reviews/hakko-850-hot-air-rework-station/. I can take pictures of this one if that would help.
Both the heater and air work, but the air pressure is really weak in comparison to an Aoyue Int852A+. Ratings say the Hakko pumps 28 liters per minute, and the Aoyue only 23 liters per minute. The Hakko did manage to desolder some SMT parts, but even at full throttle and with a narrow tip, there was little danger of blowing them away.
The pump (B1451) is powered directly from AC, controlled by a NEC AC03F triac. The triac is good, according to the troubleshooting guide. (Expected because the pump ran.) The fan control potentiometer also measures okay (a 100K pot). There are no obvious air leaks anywhere, and the pump gets louder when those internal hoses are pinched.
It's hard to see where the air intake is, or if there is a filter. There is a 1/4" opening on the underside of the white tank in this picture from that other thread:
.
It still pumps air when that hole is covered, so if it is an intake, there are leaks elsewhere.
Is there an easy way to measure airflow without a special meter?
The other thread says not to open the pump unless you have replacement seals. Are those gaskets or o-rings or something else? Is that something I can make or find somewhere?