Usually a very crappy profile. Calibrate your LCD and it'll beat the CRT.
If it's an RGBLED-backlit IPS or AFFS panel, I'd believe you for the most part, but there's no way that the cheap-ass TN panels in my house are going to touch my FD Trinitrons if both are calibrated, except in geometry and convergence (the two things that take a lot of time to try and get just right on CRTs). I should also remind you that said LCDs in my house are also so cheap and crappy that they don't have DVI or HDMI ports.
Then again, FD Trinitrons, Diamontron NFs, and other such tubes are pretty much the best CRTs have to offer, much like IPS and AFFS are pretty much state of the art for current LCDs. If you were talking old, cheap shadow mask CRTs, then even TN panels could compete with those pretty well in some key regards, especially if the old, cheap CRTs are likely to be 15" or less, maybe 17".
If you disable the "Use refresh rates approved for this monitor" in Display Properties you can set the rate to whatever you want. And if the monitor doesn't like it, just wait 10 seconds and let it revert.
Believe me, I tried unchecking that, when it wasn't greyed out. It didn't work. The NVIDIA drivers just told me something that I could sum up as "unsupported, sod off" when making custom resolution/refresh rate entries, right up until I set it to use the P1110 driver. Then it just worked, though like with the P1110, I have to use CVT for setting timings (part of which involves making the horizontal refresh have negative polarity instead of the usual positive), or else the monitor won't actually apply the higher refresh rate. Makes me wonder how much that monitor driver has to do with it.