What I'd expect is that DPS-HKG has the allowance of the most significant carrier, which is LX on HKG-ZRH (-LON).
Just in case that the baggage allowance in your ticket is not what you think that it should be (that's likely the case since LH IT is involved), then you'd at least have a good point in your favour at checkin in DPS.

Quote from CX website: Passengers flying a multi-leg journey (either in different classes or on a codeshare flight) will need to work out their most significant carrier (MSC). This is the segment of the trip that is considered most significant by the International Air Transport Association (IATA), and dictates the baggage policy for the entire journey.
Source: CX Baggage rules

That's not a 100% guarantee to get the LX allowance of the higher class, but better than nothing, and no, I'd also not expect to get the +1 SEN bag on DPS-HKG.