Yes of course he will.. no question.. problaby Duke of Sussex. And yes a royal duke is not the same as a "noble" Duke. He does not have a seat in the Lords.. it is a mark of honour given on arrival at years of maturity usually when a prince marries.
Actually, before the House of Lords Act 1999, a royal duke could, if he wanted to, sit and vote in the House of Lords. Currently, no hereditary peer can sit in the House unless he holds the offices of Earl Marshal or Lord Great Chamberlain, or is elected by the House to take one of the 90 additional seats still reserved for hereditary peers.
For all intents and purposes, a royal dukedom is equal then to an ordinary hereditary dukedom in the peerage of the UK. The only difference is that a royal duke is also a prince of the United Kingdom and, therefore, an HRH. The Earl of Ulster and the Earl of St Andrews, who are not princes themselves, will be ordinary Dukes of Gloucester and Kent respectively ("His Grace" , not "His Royal Highness") when they succeed their fathers in the peerage.
Note the difference then between what happens in the UK and the situation, for example, in Spain where the dukedoms awarded to the
infantas or
infantes are personal (i.e non-hereditary) titles which can be actually revoked at any time by the king, as was the case with Infanta Cristina. Whereas new
hereditary dukedoms in the Spanish nobility may be currently still awarded by the king under Art. 61 of the Spanish constitution, royal dukedoms are awarded separately, and exclusively to members of the king's family, under the royal decree 1368/1987. In the UK, as I understand it, a new hereditary peerage is awarded by Letters Patent whether the recepient is royal (i.e a prince) or not.
Royal Decree 1368/1987, Chapter III
Art. 6.º
El uso de títulos de nobleza, pertenecientes a la Casa Real, solamente podrá ser autorizado por el Titular de la Corona a los miembros de su Familia. La atribución del uso de dichos títulos tendrá carácter graciable, personal y vitalicio.