Shall we concoct some Wolfsbane potion?

Consider the following statements:

$\rightarrow$ $NaCl$ is soluble in water because it is an ionic compound.

$\rightarrow$ $H_2SO_4$ and $HNO_3$ are soluble in water though they are covalent because they form Hydrogen Bonds with water molecules.

$\rightarrow$ $SO_2$ is soluble in water though it is covalent and doesn't form form Hydrogen Bonds with water but because of the fact that it reacts with water.

$\rightarrow$ $CCl_4$ and $CH_4$ are insoluble in water because they are purely covalent compound, and they do not make Hydrogen Bonds with water molecules.

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Now, the concepts deduced are:-

$\rightarrow$ If a compound is ionic then it is soluble in water .

$\rightarrow$ If a covalent compound forms Hydrogen Bonds with water , then it is soluble.

$\rightarrow$ If any compound reacts with one another, then they are said to be soluble in each other.

$\rightarrow$ Pure Hydrocarbons are insoluble in water .

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What is the reason for solubility of $HCl$ in water ?