I think one (initial) solution to the problems could be simple,so here is an idea.
Let the players decide themselves.
At registration when players pay their entry fee, simultaneously conduct a poll on a smartpad. Each player enters his/her name (for security/verification) then votes a preference -
Single entry...1 re-entry...2 re-entry...3 re-entry...unlimited re-entry.
This poling is made by the start of the tournament, with late registering players forgoing the right to participate (which effectively would go someways to dissuade people from late registration)
The majority preference of the players, their collective decision, decides the entries permitted and all the controversy evaporates.
Tours and
casinos could opt in and out of such a system to test what was or wasn’t popular with the players, but the players themselves would drive the direction/solution regarding this debate.
As noted already, this is not splitting the atom.