Of course, 10k, not 1k, I might be an idiot

. I have tested it again and is not linear, I got a reading of 3mA across most of the range, but it does seem so sometimes switch to 4mA at voltages above 20V. I also tried heating parts of the power supply with a heat gun. Got no change in current when heating the reverse protection diode and caps, but when I heated the analog stuff under the transformer, it quickly increased to around 10mA, again fairly constant across the whole range of output voltages.
According to my multimeter (Extech EX520), voltage is spot on, but current seems to be a bit on the low side and I think it correlates with current showed at no load. For a set current of 100mA, I got a reading of 97mA (showing 3mA at no load connected) and after heating up the analog part of the circuit, I got 93mA (after disconnecting the multimeter, showed 7mA).
I think this confirm that there is something wrong with the current sensing circuitry, sadly. Will take a look around and hope it's just some protection element that is damaged.