This guy's thought it through in some detail:

https://anselm.medium.com/the-case-f...s-98ff8350c96f
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I'm not sure that you need more traction on steep climbs. Yes there's less force pushing you into the road but you also need less force to climb the hill.

What will catch out riders not used to the Martian conditions is the fact that while your gravitational mass is 38% of what it is on earth, your inertial mass is the same. This means you will really feel like you're struggling for grip on corners. The bikes will need very good brakes for this reason, also because there is very limited atmosphere to cool the brakes down.
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