What is the 以 in 给人以？ ‘给人以’ is a common phrase. I think this ’以‘ works like ’而‘ to give a sense of 'cause'. Can I replace ’以‘ with ’而‘ in 1.:


给人以诚恳、自信的印象


浴室给人以明亮通风之感。
这座桥无法给人以美的享受。  

为某事而受苦
因某事而出名  

  
zdic 6. 文言连词，与“而”用法相同：梦寐～求。
以 here works like 'with', not 'cause'.

In your examples, these '以' can't be replaced with '而', but can be ommited.