they would actually perform better on a fiberglass mast.
metal masts create a "leaky capacitor" to ground and can mess with radiation patterns.
strength could be an issue.
with the antron 99 in particular, you would want to make sure the first 9 feet of coax coming down from the feedpoint runs straight down vertically as this antenna uses the first 9 feet or so of the coax for a counterpoise.
that would also mean that if you wanted to use a choke balun, you'd want to put that 9 feet down from the feedpoint as well.
not sure about the big stick but i believe you could choke at the feedpoint of that one.
now here's something SUPER important to know. to achieve this improved performance you can't run a long ground wire down from the feedpoint as this would essentially be recreating the metal mast.
this means that you MUST have a lightning arrestor (a real one) connected to a ground rod (or more than one) before the coax enters the shack.
this subject has been covered a lot here on the forum, and many of the discussions centered around the avanti astroplane design so search those terms to find good threads.
there is also a thread about isolating end fed antennas from their support structures that is a good read.
hope this helps!
LC