Being "innovative" enough to come up with a new name for your game might be helpful!
Some people are still going to be disappointed, and there's no reason they should continue to be patrons when you offer nothing they want. However, pulling a bait and switch -- which is what this practice basically comes down to -- can really breed resentment.
You've got your reasons for not wanting others to take your trademark and slap it on their own things. Why is it somehow illegitimate for your patrons to expect that the trademark actually stands for something even when you use it?
Some people are still going to be disappointed, and there's no reason they should continue to be patrons when you offer nothing they want. However, pulling a bait and switch -- which is what this practice basically comes down to -- can really breed resentment.
You've got your reasons for not wanting others to take your trademark and slap it on their own things. Why is it somehow illegitimate for your patrons to expect that the trademark actually stands for something even when you use it?