Name clarification. Is Muhammad Haadhi a praise worthy guide correct?

[Muhammad Haadhi]

I have in Shah allah planned to name my son Muhammad Haadhi, main reason being the community is going to call him Haadhi in Shah allah hence I don’t want his name to be too long like Muhammad Abdul Haadhi, as m name is Mohamed Abdul Hameed and most times am called Hameed, hence is the Muhammad Haadhi which I think means a praise worthy guide a correct name to be kept and doesn’t have any mistake. Please guide.

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