The switched outlet on the TM751 and RR501 should be OK with a CFL. Both use the same switch in them as a Appliance Module.
Both do not have Local Control Sensing so they should not turn back on when turned off.
I did a test with two TM751s an older model {Date Code 00D17} and a new model {Date Code 08D14}. Along with a fairly old RR501 {Date Code 02F23}. A new GE FLE13HT3/2/RVL Reveal CFL and a new Feit BPESL13T/D CFL.
Now a few quirks that could be a factor.
The TM751 has no power line receiver in it so it can only be turned on and off with a remote.
Older TM751s had a differently designed circuit in it to determine if it is on or off. I found some brands of CFL may pulse when off. The GE did not while the Feit did.
Newer TM751s and my RR501 do not pulse either bulb I was testing with.
So will a CFL work with a TM751. Yes with a few things to watch. Depending on the age. A TM751 may pulse some CFLs and you may have to try a few brands to find one that works.
Remember you can only control a TM751 with an RF remote. As it will not process power line signals from power line controllers like a Maxi Controller. AHP with the CM15A Interface can send an RF signal to a TM751 to control it.