No, they are not the same, but they are close enough in burning rate and characteristics that they are more like different lots of the same powder in spite of the fact that they are made by two different manufacturers on two different continents.
Comparing loads using everything but the different powders will give you different results, the same as changing lots of the same powder. This is why every quality loading data source will tell you to start low and work up. They also tell you to do this when ever you switch lots of components used in an established load.
Hodgdon started in business by buying large quantities of surplus military powders and repackaging them. As the surplus ran out they contracted with various powder companies to make copies of the originals. Sometimes these were very close, sometimes not so much, so each case must be looked at separately. They don't tell you who made their powders, but they usually do tell you where they were made, ie. Australia is the location of ADI, Canada is where IMR is located, and etc.
dla's statement about burn rate charts is good to remember. The charts are based on the powders burn rates in a lab device called a "bomb". The actual burn rates of powders will vary depending on the volume and shape of different cartridge cases, sometimes to the point of changing their relative positions. Also, the powders are listed on charts in a sequential order that only shows how they line up, such as no. 1, no. 2, no. 3, etc.. If they were given a value that showed their true relationship to the next powder it would look more like this, 1, 6, 7, 7, 9, 12, 16, 17...