Try this below code
<vlayout id="vlayout" children="@bind(vm.allLabelSets) @template('record')">
<template name="record" var="record">
<vlayout style="padding-left:10px; border:2px solid green;" >
<label value="@load(each.label1)" />
<label value="@load(each.label2)" />
<label value="@load(each.label3)" />
</vlayout>
</template>
</vlayout>
You have to use children
attribute