Hello @tengrrl - ahead of replying I tested myself to make sure a change hadn't snuck in on me. ;o) Now that I have done so I can confirm the ability to set a Front Page for groups has not been developed. I understand there is a setting to do so however that does not function the same as does establishing a Front Page as a course Home Page.

While rechecking prior discussions in this Community for comments and suggestions on the topic, I came upon an idea submitted a while back and this has plenty of comments. 

https://community.canvaslms.com/t5/Canvas-Ideas/Groups-Allow-Groups-to-set-Homepage/idi-p/369533 

While the idea was archived for a period of time in the past, this is currently tagged as an 'active' idea. Please refer to page 9 in the comments for the status.

https://community.canvaslms.com/t5/Canvas-Ideas/Groups-Allow-Groups-to-set-Homepage/idi-p/369533/pag... 

In case you are unfamiliar with the Ideas section of the Community I thought I'd link to that as well. 

https://community.canvaslms.com/t5/Canvas-Ideas/idb-p/canvas-ideas 

Thanks for participating in the Community!

Best, Jeff