Yes...I think having more words would be better. And perhaps allow players to write up to 3 words if they want to get risky and eliminate words from the list. That way there is more strategy.
We play a reading game in my English classes where you have sentences and you can read 1, 2, or 3 words in the sentence but if you read the last word you are out. The sentences are long and the game isn't really fair, but there is strategy in how many words your read.
This would be similar if there are 10 players and 20 words. Imagine Player 1 might want to say 5 words just to get rid of them while there is less of a risk. You could also have other special words like:
Skip a Player, Reverse Order, Go again, and so on.