This worked in 2.5.1.
Sample repro (focus the textbox and try moving the cursor with the left and right arrows)
<TelerikTabStrip>
<TabStripTab Title="first tab">
<TelerikTextBox Value="@TbValue"></TelerikTextBox>
<input type="text" value="@TbValue" />
</TabStripTab>
<TabStripTab Title="second tab">another tab</TabStripTab>
</TelerikTabStrip>
@code{
string TbValue { get; set; } = "lorem ipsum";
}