"The group definitely can be anchored to object,... "
To test that assertion, I created several tests
1. A wall object anchored to another wall. Results: worked as expected.
2. A group with 2 walls object anchored to another wall. Results: anchor process recognizes the group for selection purposes but separately anchors each anchorable object in the group without anchoring the group itself. If pickstyle is set to 1, selecting the group displays no anchor leaders. If pickstyle is set to 0, each wall will separately display display anchor leaders when selected. So the group is not anchored. Instead the anchorable objects in the group are selected by the anchor command.
3. A group with lines and circles cannot be object anchored to a wall. The anchor command reports 1 group and 0 objects anchored. This doesn't actually anchor the group to the wall such that the contained objects move. the process stops when it can't find an anchorable object.
4. A group with walls and a line can be object anchored to another wall but only the anchorable objects are separately anchored to the wall. The group acts to simplify selection but doesn't serve any role after that. Moving the wall tha the group is anchored to affects both anchored walls but doesn't affect the line (regardless of pickstyle setting). Moving the line in the group will move the other lines in the group.
Groups are an interesting feature because an object can be part of any number of groups.
Architect, Registered NC, VA, SC, & GA.