YES.
Question concerning HOS 4.4" chess pieces
YES.
Can you please elaborate. Are many players competing with 4.4 inch pieces or what? elaborate.
Y E S.
WHAT???????? When they were competing with smaller pieces back in the day. SMALLER PIECES????????

YES.
Can you please elaborate. Are many players competing with 4.4 inch pieces or what? elaborate
Most people are competing with an inexpensive plastic set from china, because it is possible that your pieces will be lost, broken, or stolen.
Stuff from HoS is for your home set or for friendly games.
Most of these sets have a 4" or 3.75" king.
Why do most HOS chess pieces have a king that measures 4.4 inches tall? Is that size very popular with players and excuse my ignorance.
Here is an interesting article about standard dimensions for chess pieces.
Okay thanks. *)

I think when Jaques of London introduced their Staunton Pattern chess sets, 4.4" was the biggest size described as a Club size. Then 4" was Small club and 3.5" was Tournament. 3" and below became the Library sets.
Why a "Club" term was used, well, I am guessing, mid 19th century, most of the chess events were held in different clubs across the world, Regency in France, Simpsons in the Strand, London etc
At some point, FIDE brought in the regulation defining a tournament size set as a king 3.75" height and chess boards should have a square size of 2.25" (or between 2.17 and 2.37.)
HOS and every other chess set seller sticks to this rules.
Another good thread about different sizes of chess sets is here
https://www.chess.com/forum/view/general/chess-set-sizes-amp-classifications-explainedwith-pictures
This is a nice image from the link posted above,

yes Jaques of London introduced the Staunton Pattern sets in 1849 and the kings were 4" tall with a1 .78 inch base. I have a reproduction of the 1859 set wish is a 1 to1. Same weight and feel ,I saw the first one made in 1849. I think the reason for the 4.4 inch is for visual everyone can see the pieces, weight heavy won't fall over during play. I have not heard of anyone stealing a 4.4 inch or a 4 inch. the 3inch yes. To me I like the 4.4. I have 5 of them.
Why do most HOS chess pieces have a king that measures 4.4 inches tall? Is that size very popular with players and excuse my ignorance.