Not directly, but I know a UPS can be finicky about what it "sees" coming in. Most UPS manuals state that the UPS should be connected directly to line power, and not through a power bar - wise for anything moderately powerful, but that is partly because they don't want any "signal" conditioning going on in the power bar. In your case, your UPS may be seeing too much "signal"..... but I'd play around with eliminating power bars, or at least subbing in ones with no built-in suppression/protection.
For "emergency" use, I like to use a dedicated inverter, and use the generator with a separate charger to top up the batteries. Keeping the re-gen power on the DC side seems to work out, for me. 90cummns is doing similar, but on a larger scale than I.
Larger UPSs are provisioned already to connect to external batteries. (There are places that sell refurb ones cycled out of commercial IT service). If you often deal with multi-day outages, I'd be tempted to run one larger commercial UPS, and just charge the battery bank directly via the generator - with AC line power to the UPS disconnected till outage is over. Just be sure to remove (at least electrically) the emergency DC chargers from the battery, before restoring line AC to the UPS.
My :2cents:.
Rgds, D.