This is where you need to go sit in a serene location and contemplate the direction you want to go. Both are just as equally viable. Some methods work better for some people and the other method works equally well for other people. And many of one side have bad experiences with the other choice. The two methodologies are much like religion and politics. You'll find yourself ostracized by many of the other group. <grin>
I've seen sealant that doesn't seal sometimes and I've seen patches that leak. With either there is some amount of skill whether it's picking the right sealant for your tire/tube or picking the right patch and installing it correctly.