I don't think so Apparently most stainless steel is now made out of cheaper materials and that does happen.
Check the bottle though. I bought Lakeland oven cleaner which clearly stated on the box that it was suitable for stainless steel. It then ruined both my oven handles and I got a cheque from them to replace them.
OK, if baby oil didn't work you can try an automotive product called Autosol metal polish. You will need to give to scrub it gently for a while, using a very fine plastic brillo pad (try and get an automotive one, rather than a kitchen one). It is about £5 in Halfords.
I did the same to my oven and this brought it back.
Just tested my rangemaster too and the magnet did not stick! But tried washing up liquid with a slightly abrasive sponge and that has reduced the worst of it (I will finish off with a stainless steel polish I think). The finish is brushed stainless steel