Infinitely? Yes.
Temporary? No.
When a BiS twink dings into next bracket, they have to spend time and money to become BiS again. This provides non-twinks a cooldown period during which the twink is not PvPing.
Xp-off twinks staying BiS in any bracket permanently are not providing non-twinks that cooldown period. Twinks are going to be in that specific bracket in a month, in a year time, because of a ridiculous gear advantage they have over scrubs who join PvP Instances half naked and expect a tie on a silver platter. So while the first step is definitely
Set a minimum ilevel that must be met in order for you to participate within instanced PvP
and that suggestion should be upvoted to the top above all else, it is not enough for twinks and non-twinks to actually meet in the middle. Every bracket has a such high end gear that is still absurdly higher than a baseline. And while such high end gear is great for wargames and WPvP, it is a bane of casual Instanced PvP, and should be brought in line with a standard heirloom baseline provided in that given bracket below max level, which
Set an item level cap within the Instanced PvP on each item piece for xp-off characters
would take care of