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I would think it's fine. An Evoc bag is under their baggage dimension limits easily, so if it is under 32kg I don't see what the problem is (Singapore airlines anyway, not sure about Lufthansa).
I've flown with easyjet and Cathay with bike bags, no issues whatsoever. Cathay was annoying because you have to call them 48 hours before to double check that they have space for an oversize bag, but they don't charge any extra.
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Singapore do a weight based system. Doesn’t matter what it is- all counts to the weight only...
https://www.singaporeair.com/en_UK/us/travel-info/baggage/non-standard-baggage/https://www.singaporeair.com/en_UK/us/travel-info/baggage/checked-baggage/
Does anyone have a clue what their policy is for a bike bag? It’s under the single-bag limit but neither airline gives me any info that makes sense. I’ve called both twice and both have said I have to pay or that I don’t. Or that it’s down to the check-in agent. It’s a bit irritating.
Mind you I should have learned my lesson. A few months back I got told to collect my misplaced bag in a non-existent terminal by a Lufthansa idiot who then put the phone down on me when I told him the terminal didn’t exist.