By the time VOY came out Trek wasn't a big public thing anymore. It really didn't do much damage to the franchise.
What damaged Trek was over-saturation and marginalization. Too many series (one right after the other), stretching the writing staff too thinly, keeping the same guys in charge when they clearly had burnt out, not hiring new blood.
Too many series - did not hurt the show
too much bad ST did
And the shows became bad due to over-saturation because they were rushed into production and the writers were too thinly stretched out.
Plus UPN's dictatorship didn't help matters.
No argue here, I'd add that the creative teams were equally at fault