We all rule things differently and your way seems reasonable, but the ability makes no mention of stealth or allowing a creature to try and hide out in the open. It simply says it is indistinguishable from an ordinary object. If a perception check can reveal it, it's not indistinguishable at all.
"False Appearance (Object Form Only). While the mimic remains motionless, it is indistinguishable from an ordinary object."
On the other hand, the lore says "nearly unrecognizable," so WotC has contradicted itself again, leading to both rulings being reasonable.