Negation interacting with the subject NP of "existir"

[olzama]

Test example: item 15016 from tbdb10:

Tiene un inagotable talento humano y no existe mayor tesoro.

(1, 0, 1, <0:5>, 1, "tener" "tiene", 0, "vmip3s0", "vmip3s0" 1.00000000) (2, 1, 2, <6:8>, 1, "uno" "un", 0, "di0ms0", "di0ms0" 0.99698031) (3, 1, 2, <6:8>, 1, "z" "un", 0, "z", "z" -1.00000000) (4, 2, 3, <9:19>, 1, "inagotable" "inagotable", 0, "aq0cs00", "aq0cs00" 1.00000000) (5, 3, 4, <20:27>, 1, "talento" "talento", 0, "ncms000", "ncms000" 1.00000000) (6, 4, 5, <28:34>, 1, "humano" "humano", 0, "aq0ms00", "aq0ms00" 0.96284830) (7, 5, 6, <35:36>, 1, "y" "y", 0, "cc", "cc" 0.99998928) (8, 6, 7, <37:39>, 1, "no" "no", 0, "rn", "rn" 0.99929653) (9, 7, 8, <40:46>, 1, "existir" "existe", 0, "vmip3s0", "vmip3s0" 0.99792531) (10, 8, 9, <47:52>, 1, "mayor" "mayor", 0, "aq0cs00", "aq0cs00" -1.00000000) (11, 9, 10, <53:59>, 1, "tesoro" "tesoro", 0, "ncms000", "ncms000" 1.00000000) (12, 10, 11, <59:60>, 1, "." ".", 0, "fp", "fp" 1.00000000)

Currently, existir is a normal intransitive verb. As such, it requires a subject that is a NP, so, either has an article or is some kind of NP that was formed without an article. The negation does not change this. However, in practice, if there is negation (as in the example), then there is no article (presumably because the negation actually is more like a determiner for the noun, despite being separated from the noun by the verb).

Existe un mayor tesoro
*Existe mayor tesoro
?No existe un mayor tesoro 

Note: Maybe there is a version of "existir" that is more like "haber" (like the English "there is/there exists"). Then the NP is the complement and not the subject. In any case, the negation issue remains.