Accountants ARE helpful.

Technically, aren't you entitles to claim back the percentage of your bike that you actually use as transport to, or for work? Eg. If I reckon that 50% of my bike use is directly work-related, then I can claim back 50% of the cost of the bike as an expense? Ditto money spent on repairs for said bike?

Please note the question marks in that, mind…

AFAIK you can't claim the cost of the bike for getting to work if you have a usual place of work like an office. if however you work at different locations and have an office at home then you can claim for the use of the bike for all the journeys you make.
Or if the bike was left at the office location and you used it for work once you had traveled to the office you could claim 100% of the cost of the bike (over 4 years as a capital allowance)