There are merits to both.

I tape the spine of other's razors to avoid honewear. Sometimes you tape the spine to keep etching or wash. Some people tape the spine because they like how it feels. Some people do not tape the spine because they like how it feels.

FWIW, if you use 3M 700, or the even thinner 3M Super 33, the degree of change with one layer of tape is about .3 degrees. Meaning that if you want to maintain between 16-18 degress as a cutting bevel, and without tape your razor is a 17 degree edge....with one layer it's 17.3 degrees.

It's whatever you want to do....tape or no tape....you decide.