From the Epix 2 manual: Display "burn-in," is normal behavior

** EDIT ** It seems that Garmin does indeed do the "tricks" Apple Watch uses to limit burn-in, that is scale the display down and move it around when it's in idle mode. This should minimize the risk of burn-in significantly. You can see it in this video from DC RainMaker when the Epix 2 goes into sleep mode:

Garmin EPIX In-Depth Review: 15 New Things to Know!
youtu.be/7mZRmAJ4zyw

Just worth mentioning since there have been quite many reports of Venu users with burn-ins on these forums.
All of them seems to have kept the display in the always-on mode, which is not recommended by Garmin if you want to prevent burn-ins:

"Image persistence, or pixel "burn-in," is normal behavior for AMOLED devices. To extend the display life, you should avoid displaying static images at high brightness levels for long time periods. To minimize burn-in, the epixTm display turns off after the selected timeout (Changing the Screen Settings)."
Epix Gen 2 Manual: About the AMOLED Display

Many people will refer to the Apple Watch always on and say that it does not experience burn-ins to a high degree. And that is true, partially because Apple have a few tricks to minimize this risk. For example, when the Apple Watch always in screen goes into "idle" mode the entire screen will "scaled down" a bit and be re-positioned in such a way that the same pixels won't always be active even when displaying static content. 

Garmin does not seem to use these tricks and instead have limitations like "max 10% of pixels can be set for at most 3 mins per pixel". But these do not seem to help so much in practice (The first Venu had 10% and 4 minutes per pixel and still caused massive burn-ins).

I guess only time will tell, but since Garmin clearly states that there is a risk with burn-ins if you use the display in always-on mode, I think it will be hard asking for a replacement if you do experience the issue since this is "Normal behavior".