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I wonder if is there any downsides about that duplicated navigation technique?
And if changing anchor text would make any difference, for better or worst
What do you say?
If the links duplicated are internal navigation for your site, I can't imagine you'll have any problem.
I have such bottom links on 90% of the sites I manage - no problems that I can see.
The nav bar and link text should also be consistent throughout the site, for the same reason.
If you have a user on your site, don't confuse them, don't lose them.