Amen to both of the above remarks, from the little I've learned and the many hours spent in front of my old CRT :
- yes you'll need to tweak the brightness (and maybe contrast, though that's often advised against) at the calibration stage to reach a decent white point (better to leave the black points where it stands),
- and older CRTs have a tendency to block shadows that requires the profile/LUT to do a heavy "shadow lighting" to bring the tone curve back to something normal, very susceptible to bring posterization as the data is 8bits anywhere along the pipeline. Don't try the gamma options that will further lighten the shadows like L*, for the same reason.
Try to find some black step wedges intended for monitor calibration (Norman Koren has
a simple one covering gamma and black level, entire page worth reading, and AardenburgI&A (aka MHMG here) has
a PSD file for that). I wouldn't be that surprised if without calibration, you had a way low black level? I got such a CRT at home...
Bottom line :
with a CRT, the more you tweak the OSD settings to get a good calibration (white point, gamma and tone curve), the less has to be made by the profile and the more precise the profile ends.
