Disagree with your interpretation Randyraven. I stick by what Buildersmate and I said, although i think the governemnet site could have worded it better. If your interpretation was right people could get SSP indefinitely! As we said, the statement must mean an employer can't simply dismiss you just to avoid SSP- but of course he can dismiss you on incapability grounds provided he follows correct procedures, regardless of whether you are claiming SSP or not.
Is there an employment lawyer here who can confirm this?
But by all means go to CAB/union or get a solicitor.