Interesting. I always associated Trini Lopez with the hollowbody Gibson with the Florentine cutaways, similar to the guitar in BE's vid link.
Gibson offered two Trini Lopez models. The Standard was the 335 based one as shown above. The Deluxe was based on the Barney Kessel.
The Barney Kesselon top, the Trini Lopez Deluxe on the bottom.
Some nice shots of a Standard:
Vintage Vault: 1967 Gibson Trini Lopez Standard | Premier Guitar
His 1963 Album, Live at PJ’s featured Trini with a Barney Kessel on the cover. This lead to the release of both the Standard and Deluxe Trini models in 1964.