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My experience from loads of single leg stuff post injury (a decade ago) is that 8 reps of body weight single leg is achievable but high bar for a runner/ cycling type.
Two things would be - first make sure you’re starting from at least 90 degrees. Depends on the machine, but it’s sometimes easy to have your leg at less than 90 bend and not be aware (feel free to go deeper once you’re happy at 90 degrees, but start there).
Second get to the point where you can press 1.5 with both legs easily, say 3x10, before single leg.
Single leg on the press can be weird with body positioning and the force sliding you off to one side.
So I've been having physio on my knee this past month due to an inflamed bursa and one of the recovery exercises is to focus on single leg presses (on the LP machine). This was informed by my desire to get back into running and was told a normal benchmark would be 8 reps @ bodyweight. I know my legs ain't impressive but I'm a long way from that... does that sound a bit OTT to anyone else?
I think it might be the case similar to my feeble pull-up tally that losing 10kgs will do more good than lifting heavy weights.