Hmm let me think about that.........................not in the slightest. This is just off the top of my head but you are talking about the man who started his career as speaker by wasting enough taxpayers money to pay a years salary for 2 newly qualified nurses on a portrait and a coat of arms that was so tacky it could have been pulled out of the bargain bin at Poundland during a time of massive cuts and austerity. A Napoleonic powermonger who has been rightfully described as the worst and most partisan speaker in over a hundred years who was safe because he knew that parliamentary convention prevented other parties from contesting his constituency. A man who over the years has been accused of improper behaviour by a number of people and someone who in their arrogance decided that their opinion was more important that those of over 17 million after the EU referendum and so went out of their way to try and hamper efforts for independence.
Tradition can be a fine thing but Bercow's partisan bias and arrogance meant that the key tradition of the speakers role, that being their impartiality and being an unbiased voice in the house to keep order, has been completely undermined. So no, under no circumstances should this arrogant popinjay be allowed anywhere near the House of Lords, there is enough partisan bloat in there as it is.
Tell you what, if Bercow gets offered a peerage then to balance the scales Farage gets offered one by default.
https://www.express.co.uk/news/uk/1220247/Lindsay-Hoyle-Boris-Johnson-John-Bercow-House-of-Lords-peerage-Brexit-news-Remain