It has been authentically reported from the Prophet salallaahu 'alaihi wasallam that he ordered Wudhu' to be made after eating camel meat, and he did not explain to us the wisdom behind it.
We know that Allah the Most Glorified is Most Wise and All Knowing, and that he does not prescribe anything for His servants, except what is good and beneficial for them in this life and in the Hereafter.
And it is an obligation upon the Muslim to accept the commands of Allah, the Most Glorified, and His messengersalallaahu 'alaihi wasallam, and to act upon them, even if he does not know the exact wisdom behind them, as it is obligatory for him to abstain from those things which Allah and His messenger salallaahu 'alaihi wasallam have forbidden for us, even if he does not know the precise wisdom behind them, because he is a creature who is commanded to obey Allah and His messenger salallaahu 'alaihi wasallam, created for that purpose.
Therefore, he must comply and submit, with faith that Allah is Most Wise and All Knowing, and when the wisdom is known, then that is an additional form of good.
As for the broth made from camel meat – and likewise the milk- they do not invalidate Wudhu; only the meat does so, according to the words of the Prophet salallaahu 'alaihi wasallam:
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"Perform ablution after eating camel meat and do not perform ablution after eating goat." [At-Tirmithi no.81 and Abu Dawud nos.184]
And a man asked him, saying: ‘O Messenger of Allah! Should we make ablution after eating camel meat?’ He said: "Yes". The man asked: ‘Should we make ablution after eating goat?’ He salallaahu 'alaihi wasallam replied:
"If you wish." [Muslim no.360]
And these are both authentic hadiths reported from the Prophet salallaahu 'alaihi wasallam.