According to Appeon help, why I have to Install Soap ToolKit 3.0 on every
client machine when I deploy an application with web service
(pbsoapclient110.pbd) to appeon??

I am using PB11.2

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Appeon supports using the SoapConnection object and SoapException object to
implement the Web Service. UDDI Proxy is currently unsupported.

Requirements

In order to run the Web application contains Web Service, it is required to

1. Configure Web Service in Appeon Developer. Refer to the section
Application profile settings in working with Appeon Developer,

2. Install Soap ToolKit 3.0 on every client machine.