Of course, we aren’t sure what vision the writers are trying to create, so its possible Q and his schtick might be the exact thing it’s trying to avoid.
The character represents the lighthearted nature of Star Trek, which may be a great antithesis to the mostly serious adventures of Star Trek: Discovery.
If the new Picard series is looking to recapture the fun feel of Patrick Stewart’s first journey, incorporating Q would be the way to do that.