The fatwa you refer to nowhere mentioned maniy as such a cleaning liquid. In fact using it would be controversial or doubtful as the majority view is that it is not tahir.
And it is always better to avoid controversial topics. As stated in the Sahih hadith:
I heard Allah's Messenger (ﷺ) saying, 'Both legal and illegal things are evident but in between them there are doubtful (suspicious) things and most of the people have no knowledge about them. So whoever saves himself from these suspicious things saves his religion and his honor. And whoever indulges in these suspicious things is like a shepherd who grazes (his animals) near the Hima (private pasture) of someone else and at any moment he is liable to get in it. (O people!) Beware! Every king has a Hima and the Hima of Allah on the earth is His illegal (forbidden) things. Beware! There is a piece of flesh in the body if it becomes good (reformed) the whole body becomes good but if it gets spoilt the whole body gets spoilt and that is the heart.
A more detailed discussion of this hadith can be found in the answer of your former question: What is the evidence regarding the fact that doing something makruh is not sinful but one who stays away from it for the sake of Allah is rewarded?
Further maniy can't remove madhy as it is part of it and that was the condition for accepting a liquid for cleaning as stated by ibn Taymiyyah and abu Hanifa too as stated in the fatwa on islamqa #111812 you've mentioned in the comments:
The view of Imam Abu Haneefah (may Allaah have mercy on him) is that it is acceptable to purify najaasah with any pure liquid that can remove it.
This view was also favoured by Shaykh al-Islam Ibn Taymiyah (may Allaah have mercy on him). It says in al-Ikhtiyaaraat al-Fiqhiyyah (p. 23):
Najaasah may be purified with any pure liquid that will remove it, such as vinegar and the like. This was narrated in one report from Ahmad, and was favoured by Ibn ‘Aqeel, and it is the view of the Hanafis. End quote.
However it is rather the case that maniy itself can or must be removed by either washing it while it is still liquid or not dried yet or scratching it when it became dry in order to follow the sunnah as practiced at the time of the prophet ().