The phrase "pretensions to their countenance" can be interpreted as a reference to someone's assumed or claimed right to approval, favor, or support from others. Let's break it down:
- "Pretensions" refers to claims or attempts to assert something, often something that might not be fully deserved or legitimate.
- "Countenance" typically means facial expression or appearance, but in this context, it often refers to approval, support, or endorsement.
So, "pretensions to their countenance" would suggest that someone is trying to claim or assert the right to be supported, favored, or approved by others, even if that claim might not be justified or respected. It's implying an attempt to gain favor or endorsement, often in a way that seems presumptuous or without solid basis.