Two senses in daijr/s.

eijiro:
長寿番組
a long-running program（ラジオ・テレビの）
long-running show（ラジオ・テレビの）
長寿社会
long-lived society
longevity society  <--- Perhaps a society for the study of longevity? Not worried about this one...


Many long-running examples
https://context.reverso.net/translation/japanese-english/長寿#long-running

A list of [adj-f] vs [adj-no] comparisons:
長寿コミック	138
長寿のコミック	0

長寿番組     49057
長寿の番組   93

長寿ラジオ	588
長寿のラジオ	0

長寿企業	   12305
長寿の企業  25

長寿シリーズ	4247
長寿のシリーズ	45

の does not look like [adj-no]:
長寿の秘訣	22675	<-- the secret to long life 
長寿のお祝い	26705	<-- blessing that one may have a long life (I assume)
長寿の湯	9091	        <-- fountain/springs/water that confer long life
You can skim the list, but they all look like this to me...
https://www.edrdg.org/~jwb/cgi-bin/ngramlookup?sent=長寿の&topjuku=on&top100=on

Encountered in Frieren as 長寿友達 about a several-hundred-year-old dwarf. "my long-lived friend".  This is an uncommon collocation *but* it notably appears as an adj-f construction, not adj-no. This is consistent with various other ngram examples pulled from a reverso search on 長寿 + "long-running". All are quite rarely adj-no vs adj-f (refs).

長寿の collocations appear to be "fountain of youth" variety, which I think we would not consider adj-no at all. (not a fountain that lives a long time, but a fountain that confers long life).

Non-natives would have a hard time getting from "long life" to "long-lived"(even some natives might...).  Combined with the unexpected "long-running", I think it's worth splitting out.

We have one collocation, 長寿番組: long-lived program (on TV, radio, etc.); long runner
But there are evidently a bunch of similar terms with reasonable ngram counts, and the structure appears to be productive. So I think it's valuable.

@@ -16 +15,0 @@
-<pos>&adj-no;</pos>
@@ -18,0 +18,5 @@
+</sense>
+<sense>
+<pos>&adj-f;</pos>
+<gloss>long-lived</gloss>
+<gloss>long-running (e.g. TV program)</gloss>

gg5, prog

@@ -16,0 +17 @@
+<gloss>long life</gloss>