I said I don't believe it... but there again I'm from the UK and scratch-2 hcap is a way rarer here because of the handicap system not being based on averages... you could have the year of your life and shoot par at 20 times in a row in competitions at Carnoustie and still only come down from 5 to 3..... CONGU is a harsh system in category 1.
Is this actually a fact or an exaggeration? If this is really the case then your system is more messed up than the one here and that's saying something!
In theory it's possible but unlikely. You would have to be unlucky in terms of standard scratch score (SSS) for the day being low every time. For example if the par for the course is 72 but the SSS is 73 then that means you should play the course in one over your handicap. So a 3 handicap should shoot 4 over or 76. However, the SSS can change both up or down in a tourney depending on how the field does.
In the example above a 5 handicap shooting level par (72) actually returns a nett score 6 better than the SSS (73) so would get cut 6 X 0.1 = 0.6 so would then be a 4.4. However, if the SSS for the day becomes 71 then they would only get cut 4 X 0.1 and be a 4.6. Thus you can see that the SSS would have to fall to 68 for those 20 tourneys meaning the player was only cut 0.1 each time and consequently 2 strokes overall for a 5 to 3 handicap change.
I should say that it's unlikely to see the SSS move more than 1 or 2 up or down from it's norm. At least I've never seen it change much more than that. Hope that all makes sense.