I toast every tortilla that comes through my kitchen. I don't care if it's for quesodillas, soft tacos, burritos, or something else.
Not my pick, but you want to see this level of browning: https://hurrythefoodup.com/wp-content/uploads/2016/02/2.-Guacamole-Quisidillas-18-Badass-Quesadilla-Recipes.jpg
You haven't lived until you have had a burrito that is properly browned on all sides!!
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Note: if you are doing a plan tortilla, it'll bubble a bit and you'll get more browning in one spot. If it's a quesadilla or burrito or grilling a taco after it's built, the weight of the ingredients will give you more surface contact and more browning/less puffy. When it puts you can pierce the bubbles and spatula it down to get more surface contact
Another trick...
Using this method you can make a poor mans naan for Indian food. it'll be soft and tear able and light and fluffy. Sure it's not Naan, but it's a lot faster and scratches the same itch if you are wafting some quick curry you made or are having leftovers.
Best of luck!