Went out and shot a quick comparison between X-T3 F-Log and HLG picture profiles.
Camera was set to:
Manual WB 5300K
H.265 LongGOP 400Mbps 3840x2160 25p
Sharpness -4, NR -4, Color -4 (adjustable for HLG only)
Exposure matched based on each profiles base ISO
F-log raw, base ISO 640, f/5.6, 1/1250s
F-Log with "F-log/F-Gamut to AlexaX2" LUT, generated with LUTCalc:
HLG raw, base ISO 1000, f/5.6, 1/2000s
HLG w