Well, thank you all and each of you folks, I'm sure each advice you gave me works very well for that respective guy.
Although I've seen here contradictory techniques I know you are all well-intentioned, however, I feel I owe you some feedback after few weeks of trials and errors.
So, I started again applying melamine in two different ways: as per Phil's method and another one, with the lathe stopped and applying with the grain only. It's true that the second method gave me better results in terms of having or not those fine lines and how bad they are. They are still there, but much more finer than in Phil's method.
Now, burnishing.... Some said apply burnish immediately after melamine, some others said to wait few seconds to allow melamine dry. I found that waiting to dry is not a good idea! ;) If melamine got dry, it's hard to remove the lines, no matter in which direction they are, radial or longitudinal. So, long story short: I went with Phil's method, from start to finish, no deviation. The lathe was running at 800rpm, applying the melamine, immediately after I burnished it at 1200 rpm. Continued with some Hempshire high gloss. Still have some lines, visible with a magnification loupe (don't ask me why I'm doing this, I'm probably some sort of masochist), still feel the surface a little bit uneven under my fingers and not exactly that satin like as is mentioned it should be and still a little bit of matteish surface, even after polishing with wax (and before, yes). It has, indeed, a more natural touch, however, far from what I expected.
Conclusion: I'm sure is just me in all this unsuccessful attempt, I still miss something and I have no clue what (perhaps just my expectations); when (and if) I'll be in the right mood to give it a new try, I'll do it, otherwise I'll stay with my trustful CA finish, even it looks not very natural, at least it's very even :) . Another try would be with some oils, no idea now which ones, probably tung or...????
