That seems a reasonable question to ask when The Scottish Parliament Transport, Infrastructure and Climate Change Committee's "Inquiry into Active Travel" concludes by saying -
"Stronger, more effective and sustained leadership is required from the Scottish Government in order to implement improvements to walking and cycling policies in Scotland."
http://www.scottish.parliament.uk/s3/committees/ticc/reports-10/trr10-04.htm
Finance Minister John Swinney occasionally rides for leisure but he has managed to resist calls by Spokes (and others) for increased spending on cycle infrastructure.
So perhaps it doesn't matter if the First Minister rides a bike - though it might be good for his health!