Might need a trap, depends on whether its positive or negative pressure and all that depends on blower motor position. More than likely the trap is needed. Put a gravity drain in where negative pressure is needing a trap and you'll have water overflowing in your unit.Other than wires not OCD"d looks like a regular install. OttoMan do heat pumps extract moisture with the heat on like 90% gas? I would change the condensate line to where there is not a trap but straight gravity fed. The strapping is normal until the duct inside is constricted. As to liability, to me it would be a $3.39 fix with the PVC, a $350 drywall repair and $450 painting. That is $803.39 what is the deductible and what is the increase in insurance making a $300 claim.
If the invoice has a line item to repair the original condensate line there might be a there there, but if they replaced the unit the way it was originally installed and did not charge to fix it, I would say bring it on. Maybe not what you wanted to hear but an opinion on the internet with a little knowledge in the arena