with 不知能否作介词表示伴随的疑问

下面两句话中分别含有with,不知能否作介词伴随？

According to Court statistics, in the first month since the regulations went into effect, there was a 30% jump in the number of cases accepted,, with most of them accepted immediately. The Jiangsu, Zhejiang, and Shandong courts accepted over 80,000 cases, with Beijing, Hebei, and other areas accepting over 40,000.

以上句子中的二个with均为with复合结构，后接复合宾语。with复合结构作随着状语，不是时间状语，所以不是“伴随”的意思。