I don't know of any insurance companies that offer coverage to individuals for renting out your motorcycle part time, but they might exist. In any case, it's an unfilled opportunity, not an absolutely insurmountable problem.
Some insurance companies now do offer add-on coverage for ride-sharing and delivery drivers (Uber, Lyft, Doordash, etc.).
However, most companies have pretty stuck their heads in the sand, plugged their ears, and are singing "LA LA LA" as loud as they can in hopes the "fad" goes away. It's stupid.
Most or maybe all insurance companies have recently added policy language that removes your coverage and could even rescind your policy if they find out you're driving for ride share or delivery. If you're in an accident, you will be asked specifically whether you had ride share passengers or were making deliveries.
Again, this is a big opportunity for insurance companies, and I can't quite understand why they're so hostile. Change is opportunity.
Many lenders are also very hostile to ride share/delivery drivers. I understand that the work causes the asset to depreciate faster, and the insurance issues may leave them holding the bag. But instead of working with the customer to put together a loan/lease and insurance package that makes sense, many just try to flatly prohibit this sort of activity. Stupid, stupid, stupid.
Renting out one or more of your personal motorcycles could make financial sense for some, not for others. Probably wouldn't make sense if it's your only bike, or if you're too emotionally invested. No one is holding a gun to anyone's head to force them to rent out their bike. If the idea really bothers you, then don't do it. But if you can work out the insurance and legal issues to understand and manage the risk, then I can see that it could make sense.
On the other side, pretty much all the companies that facilitate these things do an absolutely terrible job of informing their drivers and customers about these issues. They tell you stuff like "you're covered" and "we've got your back", but then they rely on your personal insurance, which in almost every case specifically excludes sharing or business use. They're actively creating a false sense of security and taking advantage of the ignorant, which is deeply unethical.
2002 Suzuki DL1000 V-Strom, Dark Metallic Space Blue
1983 Suzuki GS850G, Cosmic Blue
2005 KLR685, Aztec Red - Turd II.2, the ReReTurdening