Not exactly, but maybe close.
I have both a Perdix and Garmin MK2s. The MK2s actually has the same screen size as the MK1, but I'm not sure if it's the exact same screen.
I would say it comes down to above water use. If you plan on using the Smart/Activity features, the Garmin wins hands down. If not, the Peregrine would make a lot of sense.
Screen on the MK2s is very easy to read, but really depends on your eyes. I have no trouble reading it, and in some cases find it easier to read as the Perdix can have a glare in some lighting situations. Another consideration for the Garmin is the compass. The Peregrine doesn't have one, but the Garmin does. The Garmin also supports more diving modes, which may or may not be a factor.
Both the Garmin and Shearwater use the same algorithms with custom GFs, and they track well together. If you are used to SurfGF on the Peregrine, you should also be able to show this on the Garmin. I can on the MK2s, but not sure if the same is true for the MK1.