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You cannot get around it, because many countries still base your entry eligibility on your original citizenship and not on documents issued by a country where you do not hold citizenship (ie refugee documents et al).
For example, a Nigerian citizen holding a Canadian refugee document travelling to the UK would not enjoy the visa-free entry that a Canadian citizen would enjoy, but instead would need to apply as a Nigerian citizen.
That does not mean the traveller would need to travel on their Nigerian passport, nor would it mean the traveller would have to present a Nigerian passport to the UK authorities, it just means that the issuing country of the travellers travel documents does not necessarily grant them the same status as citizens of that country.
Which is why Timatic and other travel status checking systems require citizenship info in addition to travel document info. The two are not necessarily equivalent and can determine different outcomes.