pattern - What is an Organizable Word™?

_{This is in the spirit of the What is a Word™/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles.}

If a word conforms to a special rule, I call it an Organizable Word™.
Use the examples below to find the rule.

$$\smash{\lower{28px}\bbox[yellow]{\phantom{\rlap{rubio.2017.01.30} \Rule{18px}{20px}{0px}\begin{array}{|c|c|} \textbf{Organizable Words }&\textbf{Not Organizable Words }\\\end{array}}}}\\ \begin{array}{|c|c|}\hline\phantom{\Rule{0px}{20px}{0px}} \textbf{Organizable Words }^™&\textbf{Not Organizable Words }^™\\\hline \text{ BEINGS }&\text{ PEOPLE }\\ \hline \text{ BOOTS }&\text{ SHOES }\\ \hline \text{ CASE }&\text{ CHASE }\\ \hline \text{ ELBOW }&\text{ KNEE }\\ \hline \text{ GOTHS }&\text{ MOTHS }\\ \hline \text{ RIFTS }&\text{ GIFTS }\\ \hline \text{ SADDER }&\text{ LADDER }\\ \hline \text{ SHILL }&\text{ SHELL }\\ \hline \text{ SHIP }&\text{ BOAT }\\ \hline \text{ SLOGS }&\text{ LOGS }\\ \hline \text{ SLOT }&\text{ SLOW }\\ \hline \text{ TAPED }&\text{ TIED }\\ \hline \text{ TON }&\text{ POUND }\\ \hline \text{ WONK }&\text{ NERD }\\ \hline \end{array}$$

In case you want it in CSV:

Organizable Words™,Not Organizable Words™
BEINGS,PEOPLE
BOOTS,SHOES
CASE,CHASE
ELBOW,KNEE
GOTHS,MOTHS
RIFTS,GIFTS
SADDER,LADDER

SHILL,SHELL
SHIP,BOAT
SLOGS,LOGS
SLOT,SLOW
TAPED,TIED
TON,POUND
WONK,NERD

The puzzle relies on the series' inbuilt assumption, that each word can be tested for whether it is an Organizable Word™ without relying on the other words.

These are not the only examples of Organizable Words™, many more exist.

Answer

An Organizable Word is

one that remains a word when alphabetized.

Below is a list of the example words that shows how they are Organizable:

BEINGS => BEGINS;
BOOTS => BOOST;
CASE => ACES;

ELBOW => BELOW;
GOTHS => GHOST;
RIFTS => FIRST;
SADDER => ADDERS;
SHILL => HILLS;
SHIP => HIPS;
SLOGS => GLOSS;
SLOT => LOST
TAPED => ADEPT;
TON => NOT;

WONK => KNOW;