Fan wiring with no wall switch
Decades ago I installed several of those old Hunter oil bath fans (4-blade with low and high speed by pull chain) and have never had any problems with them. After 35 years of service I did have to replace the pull chain switch in the most heavily used one. All of these have light kits.

More recently I installed several of the newer cheaper Hunter 5-blade fans all with light kits in a relative's house (without remote transmitter/receiver) and they have not reported any problems.

More recently still in our house we got two additional fans--newer cheaper Hunter five-blade fans with remotes and we have had problems with both. After initially working, one fan would not turn on. In messing with it, I found that depowering the remote receiver by turning off the breaker (no wall switch) restored full function and it has continued to work since. High speed is a papers-off-the-desk tornado. Go figure!

The other fan no longer works on high speed. The medium and high buttons give the same speed. I am not even sure the medium is as fast as the medium on the other fan. Depowering the receiver did not restore function. "The next chance I get" I intend to disconnect the receiver and wire it directly to see if the problem is in the receiver or transmitter or is in the fan. All five of my fans are on the same circuit and all are powered direct with no wall switch.