I don't see any difference that is relevant to gameplay. In any modern-era game that I can imagine, a motorcycle is just colour - a way of filling out the narration "I get from A to B" and of justifying my PC's fondness for leathers - until the player chooses to stake it.
I'm riding my bike across the Arizona desert to try and warn my coven before the evil ghouls find them and eat them! That's putting the bike at stake - make a riding check, on a fail maybe the bike breaks down, or as you're leaving a petrol station you find yourself surrounded by rivals from the Gypsy Jokers or whatever (as seems appropriate in the GM's judgement).
I park my bike outside the pub where I'm meeting my friends for a drink. That's not staking the bike on anything - and I stand by my opinion that a GM who can't think of anything better to do at that point then have the bike be stolen is a lame GM. The idea that we'd actually spend time at the table discussing how the PC is protecting the bike from theft - which is what happened in [MENTION=22779]Hussar[/MENTION]'s game - just adds to the lameness.
as stated, if the Gm and player reach agreement on the bike's benefit and determents etc - thats great.
In 5e, the closest to the motorcycle is a horse and in 5e horses are fair game - both benefits and detriments. They carry stuff but they dont survive easily. etc. thats by the basic nature of the rules and obviously a gm and player (how many times does it have to be said) can agree to go another way with it.
But at the point the player sits down to a 5e game and insists his horse or his elephant gets to have its in game benefits - travel and carry stuff, but doesn't want to have to worry about protecting it or having to replace it or buy feed for it etc... to the point of calling it dickish or questioning decency if the Gm says "no thats not how this campaign treats it" that becomes a different matter altogether.
My group does not enjoy as much the meta-game resolutions of what would be in-game issues so, we do not go that route with any sort of regularity. just not oru flavor of ice cream. But i am sure some enjoy it - just like some enjoy friend-proof fireballs in MMOs and bears and demon buddies no NPC seems to notice without any explanation given.