Yes you can, is anyone under the impression that Gary Lineker's views are the views of the BBC? If anyone thinks that they need help
Even the BBC staff code of conduct allows it, because Lineker isn't involved in politics / economics programming. When you are involved in those its a slightly different story, that blurs the lines of impartiality
Ignoring the Andrew Neil comparison for now, no-one ever complains about Deborah Meaden's tweets and she's very critical of the Government, yet she's on a very popular BBC TV Show. No-one complains about Carol Vorderman's tweets either and she presents on the BBC network too, she's also very critical of the Govt.
But suddenly Lineker gets criticism because... what he said resonates with vast swathes of the population and its shockingly true. WHy shouldn't he be allowed to say it? He's a football pundit, he has opinions, he shouldn't be silenced.
If your workplace discriminated against you because of your views, you'd at best feel hard done to, why should Lineker be treated differently