The appearance of RadRadioButtonList is broken when it is used on the same page with RadButton and the set render mode equals to Auto or Classic.
The bug can be reproduced with the following setup:
No render mode set: <telerik:RadRadioButtonList ID="RadRadioButtonList3" runat="server">
<Items>
<telerik:ButtonListItem Text="AllXxXxX" Value="d" />
<telerik:ButtonListItem Text="Phone xxxxxxxxx" Value="P" />
<telerik:ButtonListItem Text="IP/URL xxxxxxxxx" Value="I" />
<telerik:ButtonListItem Text="General xxxxxxxxx" Value="O" />
</Items>
</telerik:RadRadioButtonList>
<telerik:RadButton runat="server" ID="Button1" Text="Button"/>
RenderMode="Classic":
<telerik:RadRadioButtonList ID="RadRadioButtonList3" runat="server">
<Items>
<telerik:ButtonListItem Text="AllXxXxX" Value="d" />
<telerik:ButtonListItem Text="Phone xxxxxxxxx" Value="P" />
<telerik:ButtonListItem Text="IP/URL xxxxxxxxx" Value="I" />
<telerik:ButtonListItem Text="General xxxxxxxxx" Value="O" />
</Items>
</telerik:RadRadioButtonList>
<telerik:RadButton runat="server" ID="Button1" Text="Button"/>