Yes. For the consensus tree rooting is irrelevant (like for anything else except ancestral state reconstruction). Rooting with an outgroup is a post-analysis modification of the inferred tree, a purely graphical one.
Like making a consensus tree...
I suppose from my example. As the name implies, the "majority" rule tree includes all branches that are found in the majority of BS replicates. Since the dawn of phylogenetics, the default has hence been 50 (absolute majority) although e.g. in PAUP* one had a "LE50" option, which would relax the threshold, and in MrBayes you could use "allcompat" for the sumt command.
In plant phylogenetics, many like to feel safe with using 70, and regard all that is below (i.e. 69.999999999999 and smaller) as irrelevant lacking support.
But again, when you have branches with BS smaller than 100, it means the signal in your data is not unambiguous, and then the best option is to use a consensus network. For instance, you have A, B, and C all part of the same subtree (clade in a rooted tree)
if 50% of your distinct alignmentpattern favour A as sister to B, but the rest favour A sister to C, this may be represented in the BS replicate sample and you get a split support of e.g. 55 to 45 for A+B vs. A+C.
When you infer the consensus tree with a threshold of 60, it will show an A-B-C polytomy, which is not wrong but also doesn't tell the whole truth because your data didn't support B sister C.
With a threshold of 50, your consensus tree will have (A + B) + C, which is pretty wrong, since (A + C) + B is not that worse as alternative.
Reducing the threshold will change little, because 55 > 45, and any tree is strictly dichotomous.
A consensus network with a threshold of e.g. 33 will show both alternatives, hence, best captures your data/bootstrapping reality.
With a threshold of 50, your tree