Oh no, that is the opposite of what I think most effective. I find the interfacing on the lining is best for keeping the fabric from moving into the mouth on a breath in.
If using this pattern, the interfacing adds 2 permanent interior washable filtration layers to the 2 cotton layers. I wear this style mask regularly for shopping and work and it seems just fine as far as breathe-ability (I have a condition that makes me quite sensitive to breathlessness and this mask is second only to those disposable paper ones for me) as well as a great seal that keeps glasses from fogging up. I am going to make a few for co-workers as we’re required to don them in elevators and common spaces. My kids have them for school too. They are comfortable, easy to wash, and take me 15-20 mins each to make including fusing the interfacing on before cutting.
***They are not as good without the nose wire, no mask is! It is worth putting that in, it really is. I did a great deal of research on the very best, most effective elements and a good seal is tippy top of the list. Also, that craft passion mask pattern has a flat chin bit, my chin is not flat and neither is yours. I seriously recommend adding a curve to that pattern for a better seal.
If using this pattern for a different fabric for front and lining, I do recommend any interfacing be applied to the lining. This is my second favourite pattern, I drafted it for those who want to save their nice fabric for the outside only. In my opinion, it is not as easy or efficient as the original pattern. I know it seems a waste to put pretty on the inside but after making dozens of the things, I can honestly say it is WORTH IT to use the first pattern. It’s fast, it’s easy, it is 2 layers of cotton plus 2 layers of interfacing plus a nose wire and replaceable/variable ear ties. It is EVERYTHING I have read as being recommended by health authorities.