For Labour, shadow defence minister Kevan Jones said it was "absolutely right and necessary" for the UK to retain an independent nuclear deterrent, but it must take into account the costs involved.
"World events demonstrate that in an unpredictable era our country needs the ultimate security guarantee," he said.
"The precise nature of the deterrent must be judged on meeting military capability requirements and cost."
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Dr Joan Harvey warned that the new designation might cause unnecessary concern among parents.
German news agency dpa reported that prosecutors decided to seek Mr Stadler’s arrest due to fears he might try to evade justice.
David Dimbleby is stepping down after 25 years presenting the BBC show.