Definitely. This is the obvious place to start on improving your
game. There is a nice article about this by Kit Woolsey:
https://bkgm.com/articles/GOL/Sep03/burger.htm
I have done an experiment on this. Let's say you play with the tutor on,
warning level set to "bad" (equity loss > 0.08). If you then each time
the tutor warns you about a bad play take an alternative play that seems
reasonable to you and loses less than 0.08 of equity, you will typically
end up with a rating of "advanced" or even "expert". Since GNU
Backgammon's standards for rating are very high, this is quite an
achievement (if you can do this without tutor consistently).
You should definitely also read "All about GNU Backgammon" by Albert
Silver. Make sure you work through it completely and understand it. If
you don't get some of the theory, search on Backgammon Galore or ask
here for pointers.
> Looking at the luck rating
Don't. There is nothing to gain here, except dice paranoia. But you
should read an article by Douglas Zare:
https://bkgm.com/articles/Zare/AMeasureOfLuck.html
> helps me soothe my pride when getting crushed...
One thing you can be proud of is when you have reached a level of play
so high that your opponents NEED more luck than you to beat you: An
average game lasts, say, 25 moves for each player (more statistics again
on Backgammon Galore). If on each of your moves you throw away 0.02 of
equity (while your opponent plays perfectly), in total you will have
squandered 0.5 of equity. If net luck (you will understand after reading
Zare's article) cancels out in that game, your opponent is at the point
where he doubles, you have a borderline take and play on.
So without having more luck than you your opponents will not reach the
cash point and be able force a win. Please note that I am heavily
simplifying things here, but the general idea is sound. And I think it
is nice to able to say:
I cannot be beaten without you having more luck than me.
Best regards
Axel