I would just try a gentle back flush of the radiator to start with.
If you follow the instructions on the rad flush and only leave in for the minimum time recommended it should be OK.
Where they are a strong corrosive flush then more likely to cause damage if rad is weak.
I once saw a guy flush an old Ford Transit radiator, he left the flush in to long and the rusty core of the radiator gave up and water was leaking everywhere, you could argue the radiator was stuffed already.

I think the flushing agent was based on caustic soda, so unlikely to be in use these days.
Mannol is a well known company so their products should be fairly safe.