Yes they are the same thing. You can:
Rate at 400 and say to yourself 'oooh, its strong side lighting and I know my meter reading will leave my shadows empty to the tune of one stop, so I will open up one stop.' OR//
I know that under this lighting I need to give one stop more exposure than my meter will tell me to get good shadow detail, so instead of rating at 400, I will rate at 200.
I used both: I set the film speed for the majority conditions I am expecting to encounter and I make adjustments from there for each exposure based around my understanding of where the film speed and lighting combo leaves me. This sounds more complicated but I find it easier.
If you rate every roll at the same speed regardless of conditions and make all adjustments from there, this would leave you making more mental and physcial adjustments. e.g. If I am shooting a bunch of rolls inside in a brightly lit room with flat lighting, I don't want to rate it at 200 and have to reduce the exposure for every single frame under that lighting because I know 200 will result in overexposure.
Film speed changes and exposure changes are of course the same thing, just different means to the same end. Whatever works for you.
PS, unless you are scanning, and possibly even so, 30% reduction in film speed seems an awful lot! While the traditional wisdom to downrate for 'fuller shadows' and reduce development 'to prevent hot highlights' this does not work for me and my technique. I tend to downrate film and develop for the recommended time because I have a very low contrast enlarger. this way I get the exposure I need and effectively push the film a little so my 10x8 colour head can generate some highlights! I often rate at box and develop for longer still if the light is flat. Again, whatever works for you, but some of those recommending heavily reduced development do so either to ensure their scanner can cope with neg density or because they have a fine grain fettish (the flip side usually being terrible tonality and muddy prints).