My 2 cents from when I played GB from 2004-the switch recently.
If they have a tournament you will probably have to pay a large amout ($25+) to enter per person and only get a pay out of around 30% of the pot. Most tournament that are going around in this community are free because many more people will join them that way. That system works for console because you have no competition at this point. Go4lol is free and gives about the same amount of combined money and RP to winners. So i said maybe because if they are free then yes. If they are run like every other tournament on the site then no.
Related to the ladders, since you switched to the new pay to be a gold/silver member stuff you have moved to CMRS as opposed to actually using tickets. For anyone in lol fourms who doesn't understand this think of someone disputing a win you had getting sent to the tribunal instead of to a Riot official. It just doesn't work.
So to be honest no, I wouldn't just because I do not believe GB is able to run a paid tournament on the same level as even half of the people who are running tournaments for free. However, I want you to prove me wrong. If you do then I will join some of your tournaments pay to play or not.