A 1-d convolution can be seen as a fully connected per pixel of a channel. In other words, is a linear combination of the pixel in position (x,y) of each channel, while the FC is a linear combination of all the pixel of all the channels. So essentially they are not the same operation and, thus can have different effects.
In my opinion if your data is 1 dimensional you should be using FC, unless you know that there is a special relation between different dimensions on that vector, then you can reshape them into 2D and perform 1d convolution operations.
However, the best thing you can do is try both ways and see what goes better.