That wouldn't be a problem for any team with DEs/OLBs that can set the edge well and play containment. Pressure up the middle with outside containment is Taylor's kryptonite. By going PA every play, it's a lot harder to get that quick release since you have to fake it to the back every snap. Even if it's only for a second, that's still significant, and just buys more time for the inside rush to develop.
The only team I can even remotely see this idea working for is Dallas, since you'd need a mobile QB, an amazing offensive line, and big threats at WR, TE, and HB.