I think the lists on that page are a bit too long. I believe such lists can be useful as rules of thumb for really common endings, or for endings with really really few exceptions. This would reduce the list to -chen, -lein, -ment, -tum, -um.
I also think these lists are more useful for somewhat advanced learners. If you are just beginning to learn the language, it is probably enough to just keep in mind that words with certain endings can have a tendency (though sometimes a very strong tendency) towards a certain gender. And then try to remember those endings once you come across them.
E.g. the female endings -ung and -heit will come quite early because they appear in really common words (die Ordnung, die Krankheit etc) and -nis (die Finsternis) and -tum (das Eigentum) will come quite a bit later. IMHO from that list probably only -chen and -um (the latter only as a rule of thumb and for words of latin origin) are useful to keep in mind for beginners.
I honestly fail to see the usefulness of remembering the endings -icht, -il, -it, -ma, -tel. Either because there are too few words that have these endings to make it worth learning such a rule (-il, -icht, -ma) or because there are too many exceptions:
- -it is probably often neutral because chemical elements and compounds are usually neutral. But it is "der Eremit", "der Konvertit" etc
- -tel is neutral if you are dealing with a fractional number (das Drittel, das Viertel etc). I would claim is really often not neutral when you are not dealing with fractions. Die Schachtel, die Wachtel, der Spachtel, die Hantel etc. It is probably easier to remember that fractions are neutral (exception : die Hälfte). Please do not apply this rule elsewhere. It looks rather wrong.