I can only speak for EU (Ireland) domiciled ETFs, but there shouldn’t be any possibility of such contagion: something highly liquid like NASDAQ 100 will be 100% physically replicated with the assets held by a custodian. The collapse of a separate ETF that happens to have the same manager will not have an impact on the rights of shareholders of another ETF to the assets backing the fund.

I know nothing about the legal vehicles used for US domiciled ETFs, but I would assume the situation is the same.

Talk to a financial advisor before making decisions based on this information.