It’s complicated...
I would suspect (not a lawyer) that the main issue will be jurisdiction.
As a consumer in the EU, jurisdiction in matters with commercial entities is the consumer’s place of residence. But HN/YC isn’t in the EU, and I don’t think there are any legal agreements b/w the EU and USA that are relevant here. Free trade agreements tend to include such issues, but TTIP’s well-known fate means this is left to the parties to specify in any contract.
Then, there’s a difference b/w HN and YC. HN’s relationship to users is that of a commercial entity to consumers. But YC investing in your startup isn’t. Consumer protections would not apply even if YC were in the EU.
To summarize: yes, the arbitration clause, at least of YC, would apply to the same extend as if you were a US citizen.