Hello Hermes, glad to see you here.
If it is not too much trouble, I would like to know in what significant ways you found that one was better than the other.
I don't think alkyds are necessarily better than oils. For one thing, there is a bigger range of colours in oils than in alkyds. It could be that alkyds don't work too well for portraits, but I do textured abstracts and sometimes mix sand in with the paint.
I have found that alkyds suit my type of painting technique well. I like to build up textures in layers and usually use things like credit cards and painting knives instead of brushes to manipulate the paint on the canvas until I like the result. When I push them around on the canvas they behave almost identically to oils, but then I don't have to wait many days before I can apply glazes or scumble on some highlights. The drying time of alkyds is just right for me: acrylics dry too fast and oils dry too slowly.
I guess it's a very personal response to the characteristics of alkyds versus oils. I would like to hear your comments.