The remainder in the charter of 18 May 1333 for Prince Edward of Woodstock is “habend. et tenend eidem filio nro. et heredibus suis Regibus Anglie”. The Latin is (my collegiate Latin is still rusty): “to have and to hold unto him and his heirs, Kings of Great England”.
The remainder in the charter of 15 Oct 1399 to Prince Henry of Monmouth (later Henry V) is “sibi et heredibus suis Regibus Anglie”. The Latin is “to him and his heirs, Kings of England”.
The charters of 13 Oct 1453 for Prince Edward of Westminster; 24 Aug 1483 for Prince Edward of Middleham; 29 Dec 1489 for Prince Arthur (elder brother of Henry VIII); 18 Feb 1503/04 for Prince Henry (later Henry VIII); 4 June 1610 for Prince Henry Frederick (elder brother of Charles I) and 4 Nov 1616 for Prince Charles (later Charles I) all mention the same phrase: “to heirs, Kings of Great Britain”. All of the above information was gleaned from Complete Peerage under CHESTER.
If you look through J. C. Sainty’s Peerage Creations (2008), you can find the remainder to four instances of the titles of Prince of Wales and Earl of Chester between 1714 and 1762:
1714, 27 Sept for Prince George Augustus. ““Remainder to heirs, Kings of Great Britain”. See C 231/9, p 314; 1 Geo I, pt 1 (C 66/3498) no 3.
1729, 8 Jan for Prince Frederick Lewis. “Remainder to heirs, kings of Great Britain”. See C 231/10, p 154; 2 Geo II, pt 2 (C 66/3576).
1751, 20 Apr for Prince George William Frederick, Duke of Edinburgh. “Remainder to heirs, kings of Great Britain”. See C 231/11, p 98; 24 Geo II, pt 2 (C 66/3632) no 15.
1762, 19 Aug for Prince George Augustus Frederick. “Remainder to heirs, kings of Great Britain”. See C 231/11, p 330; 2 Geo III, pt 4 (C 66/3685) no 9.
The letters patent (2023) for Prince William as Prince of Wales is as follows:
“CHARLES THE THIRD by the Grace of God of the United Kingdom
of Great Britain and Northern Ireland and of Our other Realms and
Territories King Head of the Commonwealth Defender of the Faith To
all Lords Spiritual and Temporal and all other Our Subjects
whatsoever to whom these Presents shall come Greeting Know Ye
that We have made and created and by these Our Letters Do make
and create Our most dear Son and most faithful Counsellor William
Arthur Philip Louis Prince of the United Kingdom of Great Britain
and Northern Ireland Duke of Cornwall Rothesay and Cambridge
Earl of Carrick and Strathearn Baron of Renfrew Baron
Carrickfergus Knight Companion of Our Most Noble Order of the
Garter Knight of Our Most Ancient and Most Noble Order of the
Thistle Lord of the Isles and Prince and Great Steward of Scotland
Prince of Wales and Earl of Chester And to the same Our most
dear Son William Arthur Philip Louis Have given and granted and by
this Our present Charter Do give grant and confirm the name style
title dignity and honour of the same Principality and Earldom And
him Our most dear Son William Arthur Philip Louis as has been
accustomed We do ennoble and invest with the said Principality and
Earldom by girting him with a Sword by placing a Coronet on his
head and a Gold Ring on his finger and also by delivering a Gold
Rod into his hand that he may preside there and may direct and
defend those parts To hold to him and his heirs Sovereigns of the
United Kingdom of Great Britain and Northern Ireland and of Our
other Realms and Territories Heads of the Commonwealth for ever
Wherefore We Will and strictly command for Us Our heirs and
successors that Our most dear Son William Arthur Philip Louis may
have the name style title state dignity and honour of the Principality
of Wales and Earldom of Chester aforesaid unto him and his heirs
Sovereigns of the United Kingdom of Great Britain and Northern
Ireland and of Our other Realms and Territories Heads of the
Commonwealth as is above mentioned In Witness whereof We have
caused these Our Letters to be made Patent Witness Ourself at
Westminster the thirteenth day of February in the first year of Our
Reign
BY WARRANT UNDER THE KING’S SIGN MANUAL
ROMEO”
The future George III was indeed created Prince of Wales as a fresh creation prior to his succession to the Crown, as he did not succeed his father in that dignity. It would be correct therefore to describe that upon his father's death, the peerage reverted back to the Crown (I don't think it is appropriate to say "extinct" in this case for this unique dignity).
S.S.