I would appreciate input from the experts here on this situation:

Travelling EU-Zurich-Asia in business, all Swiss. The EU-Zurich flight was delayed so would misconnect in ZRH to Asia. No other options to our destination in Asia on the LH-group until 2 days later.

After some pushing from our side at the airport and phone and HUACA they rebooked us on EU-DBX-Asia on Emirates the following day so we did accept that.

We will arrive more than 24 hours later than the originally scheduled Swiss flights. Can we expect EU261 delay comp (EUR 600 each)? Or is this not applicable as we accepted this change? (assuming the reasons for the delay are EU261 eligible).

Edit: Sorry for the typo in the title: Emirates