Without getting too complicated, the figure 1.3 in this instance is the width of the tyre, but you can get differing heights of tyre. So you could have a 1.3 that puts 'the distance from the rim on the road' at a greater level than others.
I had some 1.5 tyres that were 'high volume' and were horrible squidgy things, that made riding on them feel like riding on a bouncy castle. Gave them away. Changed to a low profile 1.5 and was much happier.
If you want a fast road tyre, you want low profile. What tyres are you looking at?
High volume tyres, 'may' be more comfortable, but they are a pain to ride on ime