Hi Bazyle,
The end is ground in a jig set at an angle of 30 degrees, resulting in the end of the HSS being ground at 60. You can indeed grind the other end but, despite what the old books say, I have not found it not necessary to change the angle for different materials.
Differing angles are/were recommended to improve the life of the tool. Ideally for ease of cutting there should be a high degree of top rake but this reduces the edges resistance to wear, but this is OK for soft metals like Aluminium. Metals like Steel or Cast iron would soon wear away the a very sharp edge, so a lesser degree of rake is used to make the edge stronger. Well, that was the case, in industrial applications, before the last war and it rather stuck for home users because they knew no better and blindly followed what the big boys did. The “big boys” had of course moved onto carbide and now ceramics or Diamond. For our home use, where time and money are not our prime concerns, you will find that using the one tool with a fair degree of top rake can be used for almost anything. There is a proviso in that abrasive work pieces need something that will stand up it, hence the use of carbide, or you could reduce the rake but HSS will still wear away.
There is nothing to stop you grinding whatever angle you like, if you find it beneficial, it is the matter of a few seconds to change the angle and I would strongly recommend that you do indeed try differing angles and find out for yourself what works for you. As I say a Tangential tool is very, very easy to sharpen well and quickly, so if it does wear you can quickly sharpen it and continue to cut metal.
I hope the above makes sense, but bear in mind it is New Years Day and I went to bed very late last night, no, make that this morning. Cheers.

chriStephens