Re: "mostly due to the long storage period claimed (up to 10 years)"
You need to be sure the HVO is good quality stuff so its free of remnants of oil, etc, that might clog filters but that should not be an issue with major suppliers. There is also Shell GTL which is a similar paraffinic fuel:
https://www.shell.com/business-customers/commercial-fuels/shell-gtl-fuel.html
HVO is a slightly lower density than diesel so your generator's output power and autonomy are both slightly less (3% I think), but that may still be acceptable in most cases.
https://www.equipmentjournal.com/on-the-job/hvo-versus-diesel-dispelling-the-myths/
We found our generators start just as quick, but they are small units (16kVA - 60kVA) so probably not comparable to yours. I can't believe that you would only test months apart! We do it weekly as it fits in with other schedules and my own feeling is I would not expect my car to sit unused for a couple of months and not have issues of seizing up, etc.