The result is as follows and I would like to know if it is acceptable.
I think the "no quote ref name" is just a matter of correct syntax, as explained in Wikipedia:
The text of the name can be almost anything—apart from being totally numeric. If spaces are used in the text of the name, the text must be placed within double quotes. Placing all named references within double quotes may be helpful to future editors who do not know that rule. To help with page maintenance it is recommended that the text of the name have a connection to the inline citation or footnote, for example "author year page":<ref name="Smith 2005 p94">text of the citation</ref>.
It is acceptable, see here. For the example you have given I think it is a useful technique.